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http://dx.doi.org/10.4134/CKMS.2006.21.3.433

HYPONORMAL WEIGHTED SHIFT OPERATORS AND TRUNCATED COMPLEX MOMENT PROBLEMS  

Li, Chung-Ji (Institute of System Science College of Sciences Northeastern University)
Publication Information
Communications of the Korean Mathematical Society / v.21, no.3, 2006 , pp. 433-449 More about this Journal
Abstract
In this paper, we present some recent developments on hyponormal operator theory and truncated Curto-Fialkow and Embry complex moment problems.
Keywords
k-hyponormal; subnormal; backward extension problem; truncated complex moment problem;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 R. Curto and L. Fialkow, Recursively generated weighted shifts and the subnormal completion prob-lem, II, Integral Equations Operator Theory 18 (1994), 369-426   DOI
2 R. Curto and L. Fialkow, Recursiveness, positivity, and truncated moment problems, Houston J. Math. 17 (1991), 603-635
3 R. Curto and L. Fialkow, The quadratic moment problem for the unit disk and unit circle, Integral Equations Operator Theory 38 (2000), 377-409   DOI
4 R. Curto and L. Fialkow, Flat extensions of positive moment matrices: Recursively generated re-lations, Mem. Amer. Math. Soc. 648 (1998)
5 I. Jung and C. Li, A formula for k-hyponormality of backstep extension of a subnormal weighted shifts, Proc. American Math. Soc. 129 (2001), 2343-2351
6 I. Jung and C. Li, Backward extensions of hyponormal weighted shifts, Sci. Math. Jpn, 52 (2000), 267-278
7 J. Smul'jan, An operator a Hellinger integral (Russian), Mat. Sb. 91 (1959), 381-430
8 J. Shohat and J. Tarmakin, The problem of moments, Math. Survey I, American Math. Soc., Providence, 1943
9 R. Curto and L. Fialkow, Solution of the singular quartic moment problem, J. Operator Theory 48 (2002), 315-354
10 R. Curto, Quadratically hyponormal weighted shifts, Integral Equations Operator Theory 13 (1990), 49-66   DOI
11 C. Li, A note on singular quartic moment problem, Bull. Korean Math. Soc. 37 (2000), 91-102
12 C. Li and X. Sun, Solution of Embry quartic moment problem on the unit circle, preprint
13 J. Conway, Subnormal operators, Pitman Publ. Co. London, 1981
14 I. Jung, E. Ko, C. Li and S. Park, Embry truncated complex moment problem, Linear Algebra Appl. 375 (2003), 95-114   DOI   ScienceOn
15 I. Jung, S. Lee, W. Lee and C. Li, The quartic moment problem, submitted
16 C. Li, Two variable subnormal completion problem, Hokkaido Math. J. 32 (2003), 21-29   DOI
17 C. Li, The singular Embry quartic moment problem, Hokkaido Math. J. 34 (2005), 655-666   DOI
18 C. Li and M. Cho, The quadratic moment matrix E(1), Sci. Math. Jpn. 57 (2003), 559-567
19 C. Li and S. Lee, The quartic moment problem, J. Korean Math. Soc. 42 (2005), No. 4, 723-747   DOI   ScienceOn
20 J. Stampfli, Which weighted shifts are subnormal, Pacific J. Math. 17 (1966), 367-379   DOI
21 R. Curto and L. Fialkow, Recursively generated weighted shifts and the subnormal completion problem, Integral Equations Operator Theory 17 (1993), 202-246   DOI
22 R. Curto and L. Fialkow, Solution of the truncated complex moment problems for fiat data, Mem. Amer. Math. Soc. 568(1996)