For a paper copy of any of the items below, please send e-mail to raul-curto@uiowa.edu

**Recent Research Monographs**

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.pdfRecent 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).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).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).Operator Theory and Banach Algebras, The Theta Foundation, Bucharest,

**2003**(co-edited with M. Chidami, M. Mbekhta, F.-H. Vasilescu and J. Zemánek).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.pdfFlat 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.pdfSolution 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**

The truncated moment problem for unital commutative R-algebras, submitted for publication; 52 pages in preprint form (with M. Ghasemi, M. Infusino and S. Kuhlmann). abstractTMP.pdf

Moment infinite divisibility of weighted shifts: Sequence conditions, submitted for publication; 25 pages in preprint form (with C. Benhida and G. Exner). MIDWSeqcond.pdf

Polynomial embeddings of unilateral weighted shifts into 2-variable weighted shifts, submitted for publication; 42 pages in preprint form (with S.H. Lee and J. Yoon). polyembeddings.pdf

The Beurling-Lax-Halmos Theorem for infinite multiplicity, J. Funct. Anal. (accepted pending minor revision); 92 pages in preprint form (with I.S. Hwang and W.Y. Lee). BLH Theorem.pdf

The spectral picture and joint spectral radius of the generalized spherical Aluthge transform, submitted for publication; 23 pages in preprint form (with C. Benhida, S.H. Lee and J. Yoon). specpicjointspecradius.pdf

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.pdfIterates 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.pdfThe Extended Aluthge Transform.

*Oper. Theory Adv. Appl*., to appear in**2020**; 18 pages in preprint form (with C. Benhida). extAluthgetransform.pdfQuasinormality 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.pdfJoint 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.pdfMoment infinitely divisible weighted shifts, Complex Anal. Oper. Theory 13(

**2019**), 241-255 (with C. Benhida and G. Exner). MID.pdfSpherically 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.pdfThe 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).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.pdfA new approach to the nonsingular cubic binary moment problem, Ann. Funct. Anal. 9(

**2018**), 525-536 (with S. Yoo). Nonsingular Cubic.pdfAluthge transforms of 2-variable weighted shifts, Integral Equations Operator Theory 90(

**2018**), art. 52; 33 pages (with J. Yoon). Aluthge.pdfA new necessary condition for the hyponormality of Toeplitz operators on the Bergman space, J. Operator Th. 79(

**2018**), 287-300 (with Z. Cuckovic). Bergman.pdfThe Division Algorithm in sextic truncated moment problems, Integral Equations Operator Theory 87(

**2017**), 515-528 (with S. Yoo). DivAlg.pdfWeyl’s Theorem for pairs of commuting hyponormal operators, Proc. Amer. Math. Soc. 145(

**2017**), 3369-3375 (with S. Chavan). Weyl.pdfToral and spherical Aluthge transforms of 2-variable weighted shifts, C.R. Acad. Sci. Paris, Ser. I 354(

**2016**), 1200-1204 (with J. Yoon). CR3.pdfConcrete solution to the nonsingular quartic binary moment problem, Proc. Amer. Math. Soc. 144(

**2016**), 249-258 (with S. Yoo). ConcreteSolution.pdfBerger measure for some transformations of subnormal weighted shifts, Integral Equations Operator Theory 84(

**2016**), 429-450 (with G. Exner). Berger.pdfNon-extremal sextic moment problems, J. Funct. Anal. 269(

**2015**), 758-780 (with S. Yoo). NonExtremal.pdfA subnormal Toeplitz completion problem, Operator Th.: Adv. Appl. 240(

**2014**), 87-110 (with I.S. Hwang and W.Y. Lee). IWOTA 2012.pdfHyponormality of bounded-type Toeplitz operators, Math. Nachr. 287(

**2014**), 1207-1222 (with I.S. Hwang and W.Y. Lee). CHL Math Narichten.pdfSubnormal 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.pdfOne-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.pdfCubic column relations in truncated moment problems, J. Funct. Anal. 266(

**2014**), 1611-1626 (with S. Yoo). CuYoo1.pdfSubnormality 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.pdfRecursively determined representing measures for bivariate truncated moment sequences, J. Operator Th. 70(

**2013**), 401-436 (with L. Fialkow). tcmp13.pdfCompletion of Hankel partial contractions of extremal type, J. Math. Phys. 53, 123526(

**2012**); 11 pp. (with S.H. Lee and J. Yoon). CHM.pdfOperators Cauchy Dual to 2-hyperexpansive Operators: The Multivariable Case, Integral Equations Operator Theory 73(

**2012**), 481-516 (with S. Chavan). ChavanCurt.pdfWhich subnormal Toeplitz operators are either normal or analytic?, J. Funct. Anal. 263(

**2012**), 2333–2354 (with I.S. Hwang and W.Y. Lee). CHL2010.pdfHyponormality and subnormality of block Toeplitz operators, Adv. Math. 230(

**2012**), 2094-2151 (with I.S. Hwang and W.Y. Lee). CHLBlockToeplitz.pdfSubnormality 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.pdfWhen is hyponormality for 2-variable weighted shifts invariant under powers?, Indiana Univ. Math. J. 60(

**2011**), 997-1032 (with J. Yoon). invariant.pdfA 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.pdfPolynomially 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.pdfAn analogue of the Riesz-Haviland Theorem for the truncated moment problem, J. Funct. Anal. 255(

**2008**), 2709-2731 (with L.A. Fialkow). tcmp12.pdfWhich 2-hyponormal 2-variable weighted shifts are subnormal?, Linear Algebra Appl. 429(

**2008**), 2227-2238 (with S.H. Lee and J. Yoon). which.pdfThe extremal truncated moment problem, Integral Equations Operator Theory 60(

**2008**), 177-200 (with L. Fialkow and H.M. Moeller).__tcmp11.pdf__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.pdfGeneralized Browder’s and Weyl’s theorems for Banach space operators, J. Math. Anal. Appl. 336(

**2007**), 1424-1442 (with Y.M. Han). CuHa3.pdfPropagation phenomena for hyponormal 2-variable weighted shifts, J. Operator Th. 58(

**2007**), 175-203 (with J. Yoon). CuYo3.pdfHyponormality 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.pdfSpectral pictures of 2-variable weighted shifts, C.R. Acad. Sci. Paris, Ser. I 343(

**2006**), 579-584 (with J. Yoon). CR2006.pdfDisintegration-of-measure techniques for commuting multivariable weighted shifts, Proc. London Math. Soc. 92 (

**2006**) 381-402 (with J. Yoon). CuYo2.pdfJointly hyponormal pairs of subnormal operators need not be subnormal, Trans. Amer. Math. Soc. 358 (

**2006**) 5139-5159 (with J. Yoon). CuYo1.pdfQuartically hyponormal weighted shifts need not be 3-hyponormal, J. Math. Anal. Appl. 314

**2006**), 455--463 (with S.H. Lee). CuLee1.pdfSubnormality of Bergman-like weighted shifts, J. Math. Anal. Appl. 308(

**2005**), 334-342 (with Y.T. Poon and J. Yoon). CPY.pdfk-Hyponormality of multivariable weighted shifts, J. Funct. Anal. 229(

**2005**), 462-480 (with S.H. Lee and J. Yoon). CLY.pdfSolution of the truncated hyperbolic moment problem, Integral Equations Operator Theory 52(

**2005**), 181-218 (with L. Fialkow). tcmp9.pdfTruncated K-moment problems in several variables, J. Operator Theory 54(

**2005**), 189-226. (with L. Fialkow). tcmp10.pdfk-hyponormality of finite rank perturbations of unilateral weighted shifts, Trans. Amer. Math. Soc. 357(

**2005**), 4719-4737 (with W.Y. Lee). CuLe6.pdfA 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.pdfSolution of the truncated parabolic moment problem, Integral Equations Operator Theory 50(

**2004**), 169-196 (with L. Fialkow). tcmp7.pdfSolution of the quadratically hyponormal completion problem, Proc. Amer. Math. Soc. 131(

**2003**), 2479-2489 (with W.Y. Lee). CuLe7.pdfWeyl’s theorem for algebraically paranormal operators, Integral Equations Operator Theory 47(

**2003**), 307-314 (with Y.M. Han). CuHa2.pdfA characterization of k-hyponormality via weak subnormality, J. Math. Anal. Appl. 279(

**2003**), 556-568 (with I.B. Jung and S.S. Park). CJP.pdfk-hyponormality of powers of weighted shifts via Schur products, Proc. Amer. Math. Soc. 131(

**2003**), 2761-2769 (with S.S. Park). CuPa1.pdfSubnormality 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.pdfWeyl's theorem, a-Weyl's theorem, and local spectral theory, J. London Math. Soc. (2) 67(

**2003**), 499-509 (with Y.M. Han). CuHa1.pdfA duality proof of Tchakaloff’s Theorem, J. Math. Anal. Appl. 269(

**2002**), 519-532 (with L. Fialkow). (MR 2003e:41047) tcmp8.pdfSubnormality 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.pdfTaylor joint spectrum, Encyclopaedia of Mathematics, Supplement III, M. Hazewinkel (ed.), Kluwer Acad. Publ.,

**2002**; pp. 399-401. EncMath.pdfWeak subnormality of operators, Arch. Math. 79(

**2002**), 360-371 (with I.S. Hwang and W.Y. Lee). CHL.pdfTriangular 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.pdfTowards a model theory for 2-hyponormal operators, Integral Equations Operator Theory 44(

**2002**), 290-315 (with W.Y. Lee). model2hyp.pdfSolution of the singular quartic moment problem, J. Operator Theory 48(

**2002**), 315-354 (with L. Fialkow). (MR**2003j:47017)**tcmp6.pdf**E**xtensions 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.pdfN-tuples of operators satisfying s

_{T}(AB) = s_{T}(BA), Linear Algebra and Applications 341(**2002**), 291-298 (with M. Chō and T. Huruya). (MR 2002k:47014) CCH2001.pdfReduced Cowen sets, New York J. Math. 7(

**2001**), 217-222 (with W.Y. Lee). (MR 2002f:47059) CuLe5.pdfCartesian 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.pdfQuadratically hyponormal weighted shifts with two equal weights, Integral Equations Operator Theory 37(

**2000**), 208-231 (with I.B. Jung). (MR 2001h:47046) qhws2ew.pdfThe 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.pdfThe truncated complex K-moment problem, Transactions Amer. Math. Soc. 352(

**2000**), 2825-2855 (with L. Fialkow). (MR 2000j:47027) tcmp4.pdfTruncated 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.pdfFlat 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.pdfA joint spectral characterization of primeness for C*-algebras, Proc. Amer. Math. Soc. 125(

**1997**), 3299-3301 (with C. Hernández G.). (MR 97m:46091) prime.pdfAn operator-theoretic approach to truncated moment problems, Banach Center Publ. 38(

**1997**), 75-104. (MR 99c:47014) otatmp.pdfContractive completions of partial Hankel contractions, J. Math. Anal. Appl. 203(

**1996**), 303-332 (with C. Hernández and E. de Oteyza). (MR 97i:47042)Standard operator models in the polydisc, II, Indiana Univ. Math. J. 44(

**1995**), 727-746 (with F.-H. Vasilescu). (MR 96k:47009) somp2.pdf

**Recent 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**

Truncated moment problems: An introductory survey, Invited Speaker, BIRS Workshop, Banff, Canada, March/April 2019. Banff2019.pdf

The extended Aluthge transform, Invited Speaker, IWOTA 2019, Lisbon, Portugal, July 2019. Lisbon2019.pdf

Bivariate truncated moment problems with algebraic variety in the nonnegative quadrant in R^2, Invited Speaker, IWOTA 2019, Lisbon, Portugal, July 2019. LisbonTMP2019.pdf

Limits of iterates of spherical Aluthge transforms, Invited Speaker, ACOTCA 2019, Marne-La-Valleé, France, June 2019. Marne La Vallee2019.pdf

Spherically quasinormal pairs of commuting operators, Invited Speaker, IWOTA 2018, Shanghai, China, July 2018. Shanghai2018.pdf

Toral and spherical Aluthge transforms, Invited Speaker, NEAM 2017, Albany, October 2017. NEAM UAlbany Oct 2017.pdf

Truncated Moment Problems: An Introductory Survey, Invited Speaker, Oberwolfach, March 2017. Oberwolfach2017.pdf

A new necessary condition for the hyponormality of Toeplitz operators on the Bergman space, Invited Speaker, IWOTA 2016, St. Louis, July 2016. IWOTA2016.pdf

Moment infinitely divisible weighted shifts, Invited Speaker, Summer Workshop in Operator Theory, Krakow, July 2016. SWOT2016.pdf

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

Non-extremal sextic moment problems, Semi-plenary Lecture, IWOTA 2015, Tbilisi, Georgia, July 2015. IWOTA2015.pdf

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

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

Berger measures for transformations of subnormal weighted shifts, Invited Speaker, Fourth Small Workshop on Operator Theory, Krakow, Poland, July 2014. Krakow 2014.pdf

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

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

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

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

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

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

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

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