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

Recent Research Monographs

• 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.pdf
• 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
• 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

• Which 2-hyponormal 2-variable weighted shifts are subnormal?, preprint July 2007; 11 pp. in preprint form (with S.H. Lee and J. Yoon). which.pdf
• An analogue of the Riesz-Haviland Theorem for the truncated moment problem, preprint February 2007; 18 pp. in preprint form (with L.A. Fialkow). tcmp12.pdf
• Reconstruction of the Berger measure when the core is of tensor form, Bibl. Rev. Mat. Iberoamericana, to appear; 11 pp. in preprint form (with S.H. Lee and J. Yoon). ROMP.pdf
• 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
• 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
• Spectral pictures of 2-variable weighted shifts, C.R. Acad. Sci. Paris, Ser. I 343(2006), 579-584 (with J. Yoon). CR2006.pdf
• The extremal truncated moment problem, Integral Equations Operator Theory, to appear; 32 pp. in preprint form (with L. Fialkow and H.M. Möller). tcmp11.pdf
• Propagation phenomena for hyponormal 2-variable weighted shifts, J. Operator Th., to appear; 25 pp. in preprint form (with J. Yoon). CuYo3.pdf
• Disintegration-of-measure techniques for commuting multivariable weighted shifts, Proc. London Math. Soc. 92 (2006) 381-402 (with J. Yoon). CuYo2.pdf
• Jointly hyponormal pairs of subnormal operators need not be subnormal, Trans. Amer. Math. Soc. 358 (2006) 5139-5159 (with J. Yoon). CuYo1.pdf
• Quartically hyponormal weighted shifts need not be 3-hyponormal, J. Math. Anal. Appl. 314 (2006), 455--463 (with S.H. Lee). CuLee1.pdf
• Subnormality of Bergman-like weighted shifts, J. Math. Anal. Appl. 308(2005), 334-342 (with Y.T. Poon and J. Yoon). CPY.pdf
• k-Hyponormality of multivariable weighted shifts, J. Funct. Anal. 229(2005), 462-480 (with S.H. Lee and J. Yoon). CLY.pdf
• Solution of the truncated hyperbolic moment problem, Integral Equations Operator Theory 52(2005), 181-218 (with L. Fialkow). tcmp9.pdf
• Truncated K-moment problems in several variables, J. Operator Theory 54(2005), 189-226. (with L. Fialkow). Tcmp10.pdf
• k-hyponormality of finite rank perturbations of unilateral weighted shifts, Trans. Amer. Math. Soc. 357(2005), 4719-4737 (with W.Y. Lee). finiterank.pdf
• 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
• Solution of the truncated parabolic moment problem, Integral Equations Operator Theory 50(2004), 169-196 (with L. Fialkow). tcmp7.pdf
• Solution of the quadratically hyponormal completion problem, Proc. Amer. Math. Soc. 131(2003), 2479-2489 (with W.Y. Lee). CuLe7.pdf
• Weyl’s theorem for algebraically paranormal operators, Integral Equations Operator Theory 47(2003), 307-314 (with Y.M. Han). CuHa2.pdf
• 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
• k-hyponormality of powers of weighted shifts via Schur products, Proc. Amer. Math. Soc. 131(2003), 2761-2769 (with S.S. Park). CuPa1.pdf
• 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
• 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
• A duality proof of Tchakaloff’s Theorem, J. Math. Anal. Appl. 269(2002), 519-532 (with L. Fialkow). (MR 2003e:41047) tcmp8.pdf
• 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
• Taylor joint spectrum, Encyclopaedia of Mathematics, Supplement III, M. Hazewinkel (ed.), Kluwer Acad. Publ., 2002; pp. 399-401. EncMath.pdf
• Weak subnormality of operators, Arch. Math. 79(2002), 360-371 (with I.S. Hwang and W.Y. Lee). CHL.pdf
• 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
• Towards a model theory for 2-hyponormal operators, Integral Equations Operator Theory 44(2002), 290-315 (with W.Y. Lee). model2hyp.pdf
• Solution of the singular quartic moment problem, J. Operator Theory 48(2002), 315-354 (with L. Fialkow). (MR 2003j:47017) tcmp6.pdf
• 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
• N-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.pdf
• Reduced Cowen sets, New York J. Math. 7(2001), 217-222 (with W.Y. Lee). (MR 2002f:47059) CuLe5.pdf
• 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
• 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
• 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
• The truncated complex K-moment problem, Transactions Amer. Math. Soc. 352(2000), 2825-2855 (with L. Fialkow). (MR 2000j:47027) tcmp4.pdf
• 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)
• 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
• 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
• An operator-theoretic approach to truncated moment problems, Banach Center Publ. 38(1997), 75-104. (MR 99c:47014) otatmp.pdf
• Contractive 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

• 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

• 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