For a paper copy of any of the items below, please send e-mail to raul-curto@uiowa.edu
Recent Research Monographs
o Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory, Memoirs Amer. Math. Soc. 260(2019), no. 1253; 110 pp. (with I.S. Hwang and W.Y. Lee). MFBT.pdf
o Recent Progress in Operator Theory and Its Applications, Proceedings of the International Workshop on Operator Theory and Applications (IWOTA), Guanajuato, Mexico, 2009, Oper. Theory Adv. Appl. 220 (2012); 342 pp. (co-edited with J.A. Ball, S.M. Grudsky, J.W. Helton, R. Quiroga-Barranco and N.L. Vasilevski).
o Elementary Operators and Their Applications: 3rd International Workshop Held at Queen's University Belfast, April 14-17, 2009, Oper. Theory Adv. Appl. 212(2011); 153 pp. (co-edited with M. Mathieu).
o Recent Advances in Operator Theory and Applications, Proceedings of the International Workshop on Operator Theory and Applications (IWOTA), Seoul, Korea, 2006, Oper. Theory Adv. Appl. 187 (2009); 247 pp. (co-edited with T. Ando, I.B. Jung and W.Y. Lee).
o Operator Theory and Banach Algebras, The Theta Foundation, Bucharest, 2003 (co-edited with M. Chidami, M. Mbekhta, F.-H. Vasilescu and J. Zemánek).
o Joint hyponormality of Toeplitz pairs, Memoirs Amer. Math. Soc. 150, no. 712(2001), x+65 pages (with W.Y. Lee). (Featured MR 2002c:47042) jointmem.pdf
o Flat extensions of positive moment matrices: Recursively generated relations, Memoirs Amer. Math. Soc. 136, no. 648(1998), x+56 pp. (with L. Fialkow). (Featured MR 99d:47015) tcmp3.pdf
o Solution of the truncated complex moment problem for flat data, Memoirs Amer. Math. Soc. 119, no. 568(1996), x+52 pp. (with L. Fialkow). (Featured MR 96g:47009) tcmp1.pdf.
Recent Research Articles
o Time-dependent moments from partial differential
equations and the time-dependent set of atoms, submitted for
publication; 27 pages in preprint form (with Ph.
di Dio,
M. Korda and V. Magron). timedepfromPDE.pdf
o The truncated moment problem for unital commutative R-algebras, J. Operator Th., to appear; 52 pages in preprint form (with M. Ghasemi, M. Infusino and S. Kuhlmann). abstractTMP.pdf
o Time-dependent moments from the heat equation and a transport equation, Int. Math. Res. Not. IMRN (2022) (in press), 36 pp. (with Ph. Di Dio); arXiv:2108.03505[math:AP](2021), 1-20. timedependentmoments.pdf
o Operator-valued rational functions, J. Funct. Anal. 283(2022), no. 9, art. 109640, 23 pp. (with I.S. Hwang and W.Y. Lee). operatorvaluedrationalfunctions.pdf
o Norm and numerical radius of single operators through tools and techniques from multivariable operator theory, Linear Algebra Appl. 649(2022), 301-325 (with S.H. Lee and J. Yoon). normandnumericalradius.pdf
o A moment theoretic estimate for the cardinality of certain algebraic varieties, New York J. Math. 28 (2022) 357–366 with S. Yoo). cardinality.pdf
o Moment infinite divisibility of weighted shifts: Sequence conditions, Complex Anal. Oper. Theory 16(2022), art. 5, 1-23 (with C. Benhida and G. Exner). MIDWSeqcond.pdf
o Solution of the reconstruction-of-the-measure problem for canonically invariant subspaces, Ann. Mat. Pura Appl. (1923 - ) 201(2022), 1489-1504 (with S.H. Lee and J. Yoon). reconstruction.pdf
o Polynomial embeddings of unilateral weighted shifts into 2-variable weighted shifts, Integral Equations Operator Theory 93(2021), art. 64, 1-29 (with S.H. Lee and J. Yoon). polyembeddings.pdf
o The Beurling-Lax-Halmos Theorem for infinite multiplicity, J. Funct. Anal. 280(2021), art. 108884; 101 pp. (with I.S. Hwang and W.Y. Lee). BLH Theorem.pdf
o The spectral picture and joint spectral radius of the generalized spherical Aluthge transform, Adv. Math. 408(2022), art. 108602, 27 pp. (with C. Benhida, S.H. Lee and J. Yoon). specpicjointspecradius.pdf
o Mathematical work of Franciszek Hugon Szafraniec and its impacts, Adv. Oper. Theory 5(2020), 1297-1313 (with J.-P. Gazeau, A. Horzela, M.S. Moslehian, M. Putinar, K. Schmüdgen, H. de Snoo and J. Stochel). Szafraniec.pdf
o Iterates of the spherical Aluthge transform of 2-variable weighted shifts, in The Mathematical Legacy of Victor Lomonosov, Walter de Gruyter Publishers, 2020, in press; 16 pages in preprint form (with C. Benhida). iterates.pdf
o The Extended Aluthge Transform. Oper. Theory Adv. Appl. 278(2020), 55-76 (with C. Benhida). extAluthgetransform.pdf
o Quasinormality of powers of commuting pairs of bounded operators, J. Funct. Anal. 278(2020), art. 108342; 23 pages (with S.H. Lee and J. Yonn). quasipowers.pdf
o Joint spectra of spherical Aluthge transforms of commuting n-tuples of Hilbert space operators. Comptes Rendus Math. 357(2019), 799-802 (with C. Benhida, S.H. Lee and J. Yoon). jointspherAluthge.pdf
o Moment infinitely divisible weighted shifts, Complex Anal. Oper. Theory 13(2019), 241-255 (with C. Benhida and G. Exner). MID.pdf
o Spherically quasinormal pairs of commuting operators, in Analysis of Operators on Function Spaces (The Serguei Shimorin Memorial Volume), Trends in Math. (2019), 213-237 (with J. Yoon). spherquasinpairs.pdf
o The Aluthge transform of unilateral weighted shifts and the Square Root Problem for finitely atomic measures. Math. Nachrichten 292(2019), 2352-2368 (with J. Kim and J. Yoon).
o The Mean Transform and the Mean Limit of an operator. Proc. Amer. Math. Soc. 147(2019), 1119-1133 (with F. Chabbabi and M. Mbekhta). meantransform.pdf
o A new approach to the nonsingular cubic binary moment problem, Ann. Funct. Anal. 9(2018), 525-536 (with S. Yoo). Nonsingular Cubic.pdf
o Aluthge transforms of 2-variable weighted shifts, Integral Equations Operator Theory 90(2018), art. 52; 33 pages (with J. Yoon). Aluthge.pdf
o A new necessary condition for the hyponormality of Toeplitz operators on the Bergman space, J. Operator Th. 79(2018), 287-300 (with Z. Cuckovic). Bergman.pdf
o The Division Algorithm in sextic truncated moment problems, Integral Equations Operator Theory 87(2017), 515-528 (with S. Yoo). DivAlg.pdf
o Weyl’s Theorem for pairs of commuting hyponormal operators, Proc. Amer. Math. Soc. 145(2017), 3369-3375 (with S. Chavan). Weyl.pdf
o Toral and spherical Aluthge transforms of 2-variable weighted shifts, C.R. Acad. Sci. Paris, Ser. I 354(2016), 1200-1204 (with J. Yoon). CR3.pdf
o Concrete solution to the nonsingular quartic binary moment problem, Proc. Amer. Math. Soc. 144(2016), 249-258 (with S. Yoo). ConcreteSolution.pdf
o Berger measure for some transformations of subnormal weighted shifts, Integral Equations Operator Theory 84(2016), 429-450 (with G. Exner). Berger.pdf
o Non-extremal sextic moment problems, J. Funct. Anal. 269(2015), 758-780 (with S. Yoo). NonExtremal.pdf
o A subnormal Toeplitz completion problem, Operator Th.: Adv. Appl. 240(2014), 87-110 (with I.S. Hwang and W.Y. Lee). IWOTA 2012.pdf
o Hyponormality of bounded-type Toeplitz operators, Math. Nachr. 287(2014), 1207-1222 (with I.S. Hwang and W.Y. Lee). CHL Math Narichten.pdf
o Subnormal and quasinormal Toeplitz operators with matrix-valued rational symbols, Adv. Math. 255(2014), 562-585 (with I.S. Hwang, D.-O Kang and W.Y. Lee). CHKL.pdf
o One-step extensions of subnormal 2-variable weighted shifts, Integral Equations Operator Theory 78(2014), 415-426 (with S.H. Lee and J. Yoon). 1-step.pdf
o Cubic column relations in truncated moment problems, J. Funct. Anal. 266(2014), 1611-1626 (with S. Yoo). CuYoo1.pdf
o Subnormality of 2-variable weighted shifts with diagonal core, C.R. Acad. Sci. Paris, Ser. I, 351(2013), 203-207 (with S.H. Lee and J. Yoon). CR2.pdf
o Recursively determined representing measures for bivariate truncated moment sequences, J. Operator Th. 70(2013), 401-436 (with L. Fialkow). tcmp13.pdf
o Completion of Hankel partial contractions of extremal type, J. Math. Phys. 53, 123526(2012); 11 pp. (with S.H. Lee and J. Yoon). CHM.pdf
o Operators Cauchy Dual to 2-hyperexpansive Operators: The Multivariable Case, Integral Equations Operator Theory 73(2012), 481-516 (with S. Chavan). ChavanCurt.pdf
o Which subnormal Toeplitz operators are either normal or analytic?, J. Funct. Anal. 263(2012), 2333–2354 (with I.S. Hwang and W.Y. Lee). CHL2010.pdf
o Hyponormality and subnormality of block Toeplitz operators, Adv. Math. 230(2012), 2094-2151 (with I.S. Hwang and W.Y. Lee). CHLBlockToeplitz.pdf
o Subnormality for arbitrary powers of 2-variable weighted shifts whose restrictions to a large invariant subspace are tensor products, J. Funct. Anal. 262(2012), 569-583 (with S.H. Lee and J. Yoon). powerII.pdf
o When is hyponormality for 2-variable weighted shifts invariant under powers?, Indiana Univ. Math. J. 60(2011), 997-1032 (with J. Yoon). invariant.pdf
o A new approach to the 2-variable subnormal completion problem, J. Math. Anal. Appl. 370(2010), 270-283 (with S.H. Lee and J. Yoon). anascp.pdf
o Polynomially hyponormal operators, in A Glimpse at Hilbert Space Operators: Paul R. Halmos in Memoriam, Oper. Theory Adv. Appl. 207(2010), 195-207 (with M. Putinar). PHO.pdf
o An analogue of the Riesz-Haviland Theorem for the truncated moment problem, J. Funct. Anal. 255(2008), 2709-2731 (with L.A. Fialkow). tcmp12.pdf
o Which 2-hyponormal 2-variable weighted shifts are subnormal?, Linear Algebra Appl. 429(2008), 2227-2238 (with S.H. Lee and J. Yoon). which.pdf
o The extremal truncated moment problem, Integral Equations Operator Theory 60(2008), 177-200 (with L. Fialkow and H.M. Moeller). tcmp11.pdf
o Reconstruction of the Berger measure when the core is of tensor form, in Actas del XVI Coloquio Latinoamericano de Álgebra (Colonia, Uruguay, 2005), Bibl. Rev. Mat. Iberoamericana (2007), 317-331 (with S.H. Lee and J. Yoon). ROMP.pdf
o Generalized Browder’s and Weyl’s theorems for Banach space operators, J. Math. Anal. Appl. 336(2007), 1424-1442 (with Y.M. Han). CuHa3.pdf
o Propagation phenomena for hyponormal 2-variable weighted shifts, J. Operator Th. 58(2007), 175-203 (with J. Yoon). CuYo3.pdf
o Hyponormality and subnormality for powers of commuting pairs of subnormal operators, J. Funct. Anal. 245(2007), 390-412 (with S.H. Lee and J. Yoon). power.pdf
o Spectral pictures of 2-variable weighted shifts, C.R. Acad. Sci. Paris, Ser. I 343(2006), 579-584 (with J. Yoon). CR2006.pdf
o Disintegration-of-measure techniques for commuting multivariable weighted shifts, Proc. London Math. Soc. 92 (2006) 381-402 (with J. Yoon). CuYo2.pdf
o Jointly hyponormal pairs of subnormal operators need not be subnormal, Trans. Amer. Math. Soc. 358 (2006) 5139-5159 (with J. Yoon). CuYo1.pdf
o Quartically hyponormal weighted shifts need not be 3-hyponormal, J. Math. Anal. Appl. 314 (2006), 455--463 (with S.H. Lee). CuLee1.pdf
o Subnormality of Bergman-like weighted shifts, J. Math. Anal. Appl. 308(2005), 334-342 (with Y.T. Poon and J. Yoon). CPY.pdf
o k-Hyponormality of multivariable weighted shifts, J. Funct. Anal. 229(2005), 462-480 (with S.H. Lee and J. Yoon). CLY.pdf
o Solution of the truncated hyperbolic moment problem, Integral Equations Operator Theory 52(2005), 181-218 (with L. Fialkow). tcmp9.pdf
o Truncated K-moment problems in several variables, J. Operator Theory 54(2005), 189-226. (with L. Fialkow). tcmp10.pdf
o k-hyponormality of finite rank perturbations of unilateral weighted shifts, Trans. Amer. Math. Soc. 357(2005), 4719-4737 (with W.Y. Lee). CuLe6.pdf
o A new criterion for k-hyponormality via weak subnormality, Proc. Amer. Math. Soc. 133(2005), 1805-1816 (with S.H. Lee and W.Y. Lee). CLL2.pdf
o Solution of the truncated parabolic moment problem, Integral Equations Operator Theory 50(2004), 169-196 (with L. Fialkow). tcmp7.pdf
o Solution of the quadratically hyponormal completion problem, Proc. Amer. Math. Soc. 131(2003), 2479-2489 (with W.Y. Lee). CuLe7.pdf
o Weyl’s theorem for algebraically paranormal operators, Integral Equations Operator Theory 47(2003), 307-314 (with Y.M. Han). CuHa2.pdf
o A characterization of k-hyponormality via weak subnormality, J. Math. Anal. Appl. 279(2003), 556-568 (with I.B. Jung and S.S. Park). CJP.pdf
o k-hyponormality of powers of weighted shifts via Schur products, Proc. Amer. Math. Soc. 131(2003), 2761-2769 (with S.S. Park). CuPa1.pdf
o Subnormality and k-hyponormality of Toeplitz operators: A brief survey and open questions, in Operator Theory and Banach Algebras, The Theta Foundation, Bucharest, 2003; pp. 73-81 (with W.Y. Lee). survey.pdf
o Weyl's theorem, a-Weyl's theorem, and local spectral theory, J. London Math. Soc. (2) 67(2003), 499-509 (with Y.M. Han). CuHa1.pdf
o A duality proof of Tchakaloff’s Theorem, J. Math. Anal. Appl. 269(2002), 519-532 (with L. Fialkow). (MR 2003e:41047) tcmp8.pdf
o Subnormality and 2-hyponormality for Toeplitz operators, Integral Equations Operator Theory 44(2002), 138-148 (with S.H. Lee and W.Y. Lee). (MR 2003f:47045) CLL.pdf
o Taylor joint spectrum, Encyclopaedia of Mathematics, Supplement III, M. Hazewinkel (ed.), Kluwer Acad. Publ., 2002; pp. 399-401. EncMath.pdf
o Weak subnormality of operators, Arch. Math. 79(2002), 360-371 (with I.S. Hwang and W.Y. Lee). CHL.pdf
o Triangular Toeplitz contractions and Cowen sets for analytic polynomials, Proc. Amer. Math. Soc. 130(2002), 3597-3604 (with M. Chō and W.Y. Lee). (MR 2003f:47044) ttc.pdf
o Towards a model theory for 2-hyponormal operators, Integral Equations Operator Theory 44(2002), 290-315 (with W.Y. Lee). model2hyp.pdf
o Solution of the singular quartic moment problem, J. Operator Theory 48(2002), 315-354 (with L. Fialkow). (MR 2003j:47017) tcmp6.pdf
o Extensions and extremality of recursively generated weighted shifts, Proc. Amer. Math. Soc. 130(2002), 565-576 (with I.B. Jung and W.Y. Lee). (MR 2002i:47041) extextre.pdf
o N-tuples of operators satisfying sT(AB) = sT(BA), Linear Algebra and Applications 341(2002), 291-298 (with M. Chō and T. Huruya). (MR 2002k:47014) CCH2001.pdf
o Reduced Cowen sets, New York J. Math. 7(2001), 217-222 (with W.Y. Lee). (MR 2002f:47059) CuLe5.pdf
o Cartesian form of Putnam’s inequality for doubly commuting n-tuples, Indiana Univ. Math. J. 49(2000), 1437-1448 (with M. Chō, T. Huruya and W. Zelazko). (MR 2002g:47040) putnam.pdf
o Quadratically hyponormal weighted shifts with two equal weights, Integral Equations Operator Theory 37(2000), 208-231 (with I.B. Jung). (MR 2001h:47046) qhws2ew.pdf
o The quadratic moment problem for the unit disk and unit circle, Integral Equations Operator Theory 38(2000), 377-409 (with L. Fialkow). (MR 2002k:47036) tcmp5.pdf
o The truncated complex K-moment problem, Transactions Amer. Math. Soc. 352(2000), 2825-2855 (with L. Fialkow). (MR 2000j:47027) tcmp4.pdf
o Truncated moment problems: existence, uniqueness, and localization of the support of representing measures, The Second Meeting on Linear Algebra (Slovenian) (Bled, 1999), Obzornik Mat. Fiz 46 (1999),no. 2, 45--50. (MR 2000c:47002) Slov_abstract.pdf
o Flat extensions of positive moment matrices: Relations in analytic or conjugate terms, Operator Theory: Adv. and Appl. 104(1998), 59-82 (with L. Fialkow). (MR 99i:47026) tcmp2.pdf
o A joint spectral characterization of primeness for C*-algebras, Proc. Amer. Math. Soc. 125(1997), 3299-3301 (with C. Hernández G.). (MR 97m:46091) prime.pdf
o An operator-theoretic approach to truncated moment problems, Banach Center Publ. 38(1997), 75-104. (MR 99c:47014) otatmp.pdf
o Contractive completions of partial Hankel contractions, J. Math. Anal. Appl. 203(1996), 303-332 (with C. Hernández and E. de Oteyza). (MR 97i:47042)
o
Standard operator models in the polydisc, II,
Indiana Univ. Math. J. 44(1995), 727-746 (with F.-H. Vasilescu).
(MR 96k:47009) somp2.pdf
Featured Math Review
o
Featured Review of Solving moment problems by dimensional extension, by
M. Putinar and F.-H. Vasilescu, Annals of Math. 149(1999), 1087-1107,
and The complex moment problem and
subnormality: A polar decomposition approach, by J. Stochel and F.
Szafraniec, J. Funct. Anal. 159(1998), 432-491
FeatRev2000.pdf
Recent Lectures
o Conditional positive definiteness as a bridge between k-hyponormality and n-contractivity, Semi-plenary Speaker, IWOTA 2022, Krakow, Poland, September 2022. SP IWOTA 2022.pdf
o Model spaces and operator-valued rational functions, Invited Speaker, Special Session on Model spaces, their operators, and applications, IWOTA 2022, Krakow, Poland, September 2022. ModSp IWOTA 2022.pdf
o Norm and numerical radius of single operators through tools and techniques from multivariable operator theory, Main Speaker, WOTCA 2022, Faro, Portugal, June 2022. Faro 2022.pdf
o The truncated moment problem for unital commutative R-algebras, Invited Speaker, Special Session on Recent Perspectives on Moment Problems, Third Italian Meeting on Probability and Mathematical Statistics, Bologna, Italy, June 2022. Bologna 2022.pdf
o An operator-valued version of V.P. Potapov’s matrix-valued factorization result, Plenary Speaker, Special Week on Truncated Toeplitz Operators, Focus Program on Analytic Function Spaces and Their Applications, The Fields Institute for Research in Mathematical Sciences, Toronto, Ontario, Canada, October 2021. (via Zoom) Focus 2021.pdf
o The Beurling-Lax-Halmos Theorem for infinite multiplicity, Semi-plenary Speaker, International Workshop on Operator Theory and its Applications, Lancaster, England, August 2021. (via Zoom) IWOTA 2021 Lancaster.pdf
o The spectral picture and generalized spectral radius of the spherical Aluthge transform, Main Speaker, Operator Theory: 2020 Virtual Workshop Seoul Tokyo, December 2020. (via Zoom) KOTAC 2020.pdf
o Truncated moment problems: An introductory survey, Invited Speaker, BIRS Workshop, Banff, Canada, March/April 2019. Banff2019.pdf
o The extended Aluthge transform, Invited Speaker, IWOTA 2019, Lisbon, Portugal, July 2019. Lisbon2019.pdf
o Bivariate truncated moment problems with algebraic variety in the nonnegative quadrant in R^2, Invited Speaker, IWOTA 2019, Lisbon, Portugal, July 2019. LisbonTMP2019.pdf
o Limits of iterates of spherical Aluthge transforms, Invited Speaker, ACOTCA 2019, Marne-La-Valleé, France, June 2019. Marne La Vallee2019.pdf
o Spherically quasinormal pairs of commuting operators, Invited Speaker, IWOTA 2018, Shanghai, China, July 2018. Shanghai2018.pdf
o Toral and spherical Aluthge transforms, Invited Speaker, NEAM 2017, Albany, October 2017. NEAM UAlbany Oct 2017.pdf
o Truncated Moment Problems: An Introductory Survey, Invited Speaker, Oberwolfach, March 2017. Oberwolfach2017.pdf
o A new necessary condition for the hyponormality of Toeplitz operators on the Bergman space, Invited Speaker, IWOTA 2016, St. Louis, July 2016. IWOTA2016.pdf
o Moment infinitely divisible weighted shifts, Invited Speaker, Summer Workshop in Operator Theory, Krakow, July 2016. SWOT2016.pdf
o Hyponormality of pairs of Toeplitz operators with matrix-valued symbols, Invited Speaker, AMS Annual Meeting Special Session on Analytic Function Spaces and Operators on Them, Seattle, January 2016. Seattle2016.pdf
o Non-extremal sextic moment problems, Semi-plenary Lecture, IWOTA 2015, Tbilisi, Georgia, July 2015. IWOTA2015.pdf
o Abrahamse’s Theorem for matrix valued symbols and subnormal Toeplitz completions, Invited Speaker, AMS-EMS-SPM Special Session on Linear Operators and Function Spaces, Porto, Portugal, June 2015. Porto2015.pdf
o Truncated Moment Problems: The Interplay Between Functional Analysis, Algebraic Geometry and Optimization, Invited Survey Lecture, Annual Meeting of the Irish Mathematical Society, Belfast, September 2014. IMS 2014.pdf
o Berger measures for transformations of subnormal weighted shifts, Invited Speaker, Fourth Small Workshop on Operator Theory, Krakow, Poland, July 2014. Krakow 2014.pdf
o Abrahamse's Theorem for Matrix-valued Symbols and Subnormal Toeplitz Completions, Invited Speaker, International Conference on Operator Theory and Operator Algebras in Honor of the 75th Birthday of Ron Douglas, Fudan University, Shanghai, China, July 2013. Fudan 2013.pdf
o Recursively determined representing measures for bivariate truncated moment sequences, Plenary Speaker, Twenty-third International Workshop on Operator Theory and Applications, Sydney, Australia, July 2012. Curto IWOTA 2012.pdf
o Operators Cauchy Dual to 2-hyperexpansive Operators: The Multivariable Case, invited talk, Special Session on Multivariable Operator Theory, AMS National Meeting, New Orleans, January 2011. AMS2011.pdf
o Truncated Moment Problems, Positive Linear Functionals, and Finite Algebraic Varieties Arising From Cubic Column Relations, Twenty-First International Workshop on Operator Theory and Its Applications, Berlin, July 2010. Berlin2010
o 2-variable Weighted Shifts Built From Elementary Tensors, Third International Workshop on Elementary Operators and Their Applications, Queen’s University, Belfast, Northern Ireland, April 2009. Belfast2009
o Hyponormality and Subnormality for Powers of Commuting Pairs of Subnormal Operators, expanded version of talk delivered at the Wabash Mini-conference in Functional Analysis, Indianapolis, IN, September 8, 2007. Wabash2007
o Truncated Moment Problems: The Extremal Case, expanded version of plenary talk delivered at the International Workshop on Operator Theory and Applications, Seoul, Korea, July 31, 2006. IWOTA2006.pdf
o The Lifting Problem for Hyponormal Pairs of Commuting Subnormal Operators, plenary talk delivered at the Southeastern Analysis Meeting, Lexington, Virginia, April 9, 2005. SEAM2005.pdf