논문KCI 등재
Truncated Hankel operators and their matrices
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Truncated Hankel operators are compressions of classical \linebreak Hankel operators to model spaces. In this paper we describe matrix representations of truncated Hankel operators on finite-dimensional model spaces. We then show that the obtained descriptions hold also for some infinite-dimensional cases.
Abstract
Truncated Hankel operators are compressions of classical \linebreak Hankel operators to model spaces. In this paper we describe matrix representations of truncated Hankel operators on finite-dimensional model spaces. We then show that the obtained descriptions hold also for some infinite-dimensional cases.
참고문헌 (18)
- A. Baranov, "Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators", J. Funct. Anal, 259(10), pp.2673~2701 (2010)
- A. Bottcher, "Analysis of Toeplitz Operators, Springer Monographs in Mathematics" (2006), Springer-Verlag
- J. A. Cima, "Truncated Toeplitz operators:spatial isomorphism, unitary equivalence, and similarity", Indiana Univ. Math. J, 59(2), pp.595~620 (2010)
- J. A. Cima, "Truncated Toeplitz operators on nite dimensional spaces", Oper. Matrices, 2(3), pp.357~369 (2008)
- D. N. Clark, "One dimensional perturbations of restricted shifts", J. Anal. Math, 25, pp.169~191 (1972)
- P. L. Duren, "Theory of Hp Spaces" (1970), Academic Press
- S. R. Garcia, "Introduction to Model Spaces and Their Operators" (2016), Cambridge University Press
- S. R. Garcia, "Complex symmetric operators and applications", Trans. Amer. Math. Soc, 358(3), pp.1285~1315 (2006)
- S. R. Garcia, "A non-linear extremal problem on the Hardy space", Comput. Methods Funct. Theory, 9(2), pp.485~524 (2009)
- S. R. Garcia, "Hilbert spaces of analytic functions" (2010), Amer. Math. Soc.
- S. R. Garcia, "Blaschke products and their applications", pp.275~319 (2013), Springer
- C. Gu, "Algebraic properties of truncated Hankel operators, preprint", ~
- D.-O. Kang, "Products of truncated Hankel operators", J. Math. Anal. Appl, 435(2), pp.1804~1811 (2016)
- B. Lanucha, "Matrix representations of truncated Toeplitz operators", J. Math. Anal. Appl, 413(1), pp.430~437 (2014)
- R. A. Martinez-Avendano, "An Introduction to Operators on the Hardy-Hilbert Space" (2007), Springer
- N. K. Nikolski, "Treatise on the Shift Operator" (1986), Springer-Verlag
- V. V. Peller, "Springer Monographs in Mathematics" (2003), Springer-Verlag
- D. Sarason, "Algebraic properties of truncated Toeplitz operators", Oper. Matrices, 1(4), pp.491~526 (2007)
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