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 sT(AB)
= sT(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