Results 81 to 90 of about 463,715 (164)
Operator identities for standard weighted Bergman shift and Toeplitz operators [Elektronisk resurs]
, 2013 We prove an operator identity for the shift operator in the scale of standard weighted Bergman spaces in the unit disc. This operator identity is then applied in the context of functional calculus for the shift operator and a characterization of harmonic
Wennman, Aron, +2 more
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The Numerical Range of Toeplitz Operator on the Polydisk
Abstract and Applied Analysis, 2009 The numerical range and normality of Toeplitz operator acting on the Bergman space and pluriharmonic Bergman space on the polydisk is investigated in this paper.
Dinggui Gu
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On a weighted Toeplitz operator and its commutant
International Journal of Mathematics and Mathematical Sciences, 2005 We study the structure of a class of weighted Toeplitz operators and obtain a description of the commutant of each operator in this class. We make some progress towards proving that the only operator in the commutant which is not a scalar multiple of the
Vasile Lauric
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On some numerical characteristics of operators
Arab Journal of Mathematical Sciences, 2015 We investigate some numerical characteristics of Toeplitz operators including the numerical range, maximal numerical range and maximal Berezin set. Further, we establish an inequality for the Berezin number of an arbitrary operator on the Hardy–Hilbert ...
M. Gürdal +3 more
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On the characterization of Toeplitz operators and fractional derivatives on Bloch-type space
四川大学学报. 自然科学版, 2023 We in this paper characterize the boundedness and compactness of a class of Toeplitz operator on the Bloch-type space. In addition, we also give a characterization for the functions in terms of fractional derivative.
JIA Ce +3 more
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Schatten Class Toeplitz Operators on the Bergman Space
International Journal of Mathematics and Mathematical Sciences, 2009 We have shown that if the Toeplitz operator Tϕ on the Bergman space La2(𝔻) belongs to the Schatten class Sp,1 ...
Namita Das
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Toeplitz operators and Wiener-Hopf factorisation: an introduction
Concrete Operators, 2017 Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf
Câmara M. Cristina
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Positive Toeplitz operators between doubling Fock spaces
四川大学学报. 自然科学版, 2020 In this paper, we characterize the boundedness and compactness of the Toeplitz operator between doubling Fock spaces in terms of averaging functions and t-Berezin transform.
JIAN Shu-Man, WANG Xiao-Feng, XIA Jin
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Structured Distance to Normality of Dirichlet–Neumann Tridiagonal Toeplitz Matrices
AxiomsThis paper conducts a rigorous study on the spectral properties and operator-space distances of perturbed Dirichlet–Neumann tridiagonal (PDNT) Toeplitz matrices, with emphasis on their asymptotic behaviors. We establish explicit closed-form solutions for
Zhaolin Jiang +3 more
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Two-term Szegő theorem for generalised anti-Wick operators [PDF]
, 2015 This thesis concerns operators whose Weyl pseudodifferential operator symbol is the convolution of a function that is smooth and of fixed scale with a function that is discontinuous and dilated by a large asymptotic parameter.
Oldfield, JP
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