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m-Isometric block Toeplitz operators

Journal of Inequalities and Applications, 2019
In this paper, we study m-isometric block Toeplitz operators with trigonometric symbols. In addition, we give a necessary and sufficient condition for block Toeplitz operators with trigonometric polynomial symbols to be m-contractive.
Eungil Ko
exaly   +4 more sources

On Compactness of Products of Toeplitz Operators. [PDF]

Complex Anal Oper Theory
Abstract We study compactness of product of Toeplitz operators with symbols continuous on the closure of the polydisc in terms of behavior of the symbols on the boundary. For certain classes of symbols f and g, we show that $$T_fT_g$$
Le T, Rodriguez TM, Şahutoğlu S.
europepmc   +5 more sources

Toeplitz and slant Toeplitz operators on the polydisk [PDF]

Arab Journal of Mathematical Sciences, 2021
For n ≥ 1, let Dn be the polydisk in ℂn, and let Tn be the n-torus. L2(Tn) denotes the space of Lebesgue square integrable functions on Tn. In this paper we define slant Toeplitz operators on L2(Tn).
Munmun Hazarika, Sougata Marik
doaj   +4 more sources

Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol [PDF]

Journal of Operator Theory, 2017
Truncated Toeplitz operators and their asymmetric versions are studied in the context of the Hardy space $H^p$ of the half-plane for ...
Camara, MC, Partington, JR
openaire   +4 more sources

Two fast algorithms for finding the solution of the lower Hessenberg quasi-Toeplitz linear system from Markov chain [PDF]

Scientific Reports
We present two fast algorithms for finding the solution of the nonsingular lower Hessenberg quasi-Toeplitz linear system stem from Markov chain. And we confirm the complexity of these two algorithms is both O $$(n\log n)$$ based on the fact that a lower ...
Yaru Fu, Xiaoyu Jiang, Yanpeng Zheng, Zhaolin Jiang   +3 more
doaj   +2 more sources

Chaos for the Dynamics of Toeplitz Operators

Mathematics, 2022
Chaotic properties in the dynamics of Toeplitz operators on the Hardy–Hilbert space H2(D) are studied. Based on previous results of Shkarin and Baranov and Lishanskii, a characterization of different versions of chaos formulated in terms of the ...
Ruben A Martínez-Avendaño, Ronald Richard Jiménez-Munguía, Salud Bartoll Arnau   +2 more
exaly   +3 more sources

Generalized Crofoot transform and applications

Concrete Operators, 2023
Matrix-valued asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These are the generalization of matrix-valued truncated Toeplitz operators. In this article, we describe symbols of matrix-
Khan Rewayat, Farooq Aamir
doaj   +1 more source

Hypercyclic Toeplitz Operators [PDF]

Results in Mathematics, 2016
Minor corrections.
Anton Baranov, Andrei Lishanskii
openaire   +3 more sources

Schatten class operators on exponential weighted Bergman spaces

Journal of Inequalities and Applications, 2023
In this paper, we study Toeplitz and Hankel operators on exponential weighted Bergman spaces.
Xiaofeng Wang, Jin Xia, Youqi Liu
doaj   +1 more source

Invertibility and Fredholm Property of Fock Toeplitz Operators

Mathematics, 2023
We characterize some necessary and sufficient conditions of invertible Toeplitz operators acting on the Fock space. In particular, we study the Fredholm properties of Toeplitz operators with BMO1 symbols, where their Berezin transforms are bounded ...
Chunxu Xu, Tao Yu
doaj   +1 more source