Results 21 to 30 of about 18,154 (228)
$C^*$-algebras generated by truncated Toeplitz operators [PDF]
, 2012 We obtain an analogue of Coburn's description of the Toeplitz algebra in the setting of truncated Toeplitz operators. As a byproduct, we provide several examples of complex symmetric operators which are not unitarily equivalent to truncated Toeplitz ...
Garcia, Stephan Ramon +2 more
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Compact Operators via the Berezin Transform [PDF]
, 1998 In this paper we prove that if S equals a finite sum of finite products of Toeplitz operators on the Bergman space of the unit disk, then S is compact if and only if the Berezin transform of S equals 0 on the boundary of the disk. This result is new even
Axler, Sheldon, Zheng, Dechao
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Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators
Comptes Rendus. Mathématique, 2023 In this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve [19, Theorem 2.1], by characterizing the absolutely norm attaining Toeplitz operator $T_\varphi ...
Ramesh, Golla, Sequeira, Shanola S.
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Commuting Toeplitz and Hankel Operators on Harmonic Dirichlet Spaces
Journal of Function Spaces, 2017 On the harmonic Dirichlet space of the unit disk, the commutativity of Toeplitz and Hankel operators is studied. We obtain characterizations of commuting Toeplitz and Hankel operators and essentially commuting (semicommuting) Toeplitz and Hankel ...
Qian Ding, Yong Chen, Yufeng Lu
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Hyponormality of Toeplitz operators [PDF]
Proceedings of the American Mathematical Society, 1988 For φ \varphi in L ∞ ( ∂ D ) {L^\infty }(\partial {\mathbf {D}}) , let φ = f + g ¯ \varphi = f + \bar g
openaire +1 more source
Toeplitz Operators on the Dirichlet Space of 𝔹n
Abstract and Applied Analysis, 2012 We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball 𝔹n. We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric.
HongZhao Lin, YuFeng Lu
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Toeplitz versus Hankel: semibounded operators [PDF]
Opuscula Mathematica, 2018 Our goal is to compare various results for Toeplitz \(T\) and Hankel \(H\) operators. We consider semibounded operators and find necessary and sufficient conditions for their quadratic forms to be closable. This property allows one to define \(T\) and \(
Dmitri R. Yafaev
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Abstract and Applied Analysis, 2013 We study some algebraic properties of Toeplitz operator with quasihomogeneous or separately quasihomogeneous symbol on the pluriharmonic Bergman space of the unit ball in ℂn. We determine when the product of two Toeplitz operators with certain separately
Hongyan Guan, Liu Liu, Yufeng Lu
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On the Commutativity of a Certain Class of Toeplitz Operators
Concrete Operators, 2014 One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam +2 more
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Quasinormality and Numerical Ranges of Certain Classes of Dual Toeplitz Operators
Abstract and Applied Analysis, 2010 The study of dual Toeplitz operators was elaborated by Stroethoff and Zheng (2002), where various corresponding algebraic and spectral properties were established.
Hocine Guediri
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