Results 1 to 10 of about 1,150,090 (190)
On th-Order Slant Weighted Toeplitz Operator [PDF]
The Scientific World Journal, 2013 Let be a sequence of positive numbers with , when and when . A th-order slant weighted Toeplitz operator on is given by , where is the multiplication on and is an operator on given by , being the orthonormal basis for . In this paper, we define
S. C. Arora, Ritu Kathuria
doaj +2 more sources
Reducing Subspaces of the Dual Truncated Toeplitz Operator
Journal of Function Spaces, 2018 We define the dual truncated Toeplitz operators and give some basic properties of them. In particular, spectrum and reducing subspaces of some special dual truncated Toeplitz operator are characterized.
Yinyin Hu +4 more
doaj +2 more sources
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
doaj +2 more sources
The operator system of Toeplitz matrices [PDF]
Transactions of the American Mathematical Society. Series B, 2021 A recent paper of A. Connes and W.D. van Suijlekom [Comm. Math. Phys. 383 (2021), pp. 2021–2067] identifies the operator system of n × n n\times n Toeplitz matrices with the dual of the space of all trigonometric
D. Farenick
semanticscholar +1 more source
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 +1 more source
Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach [PDF]
Integral equations and operator theory, 2022 For three standard models of commutative algebras generated by Toeplitz operators in the weighted analytic Bergman space on the unit disk, we find their representations as the algebras of bounded functions of certain unbounded self-adjoint operators.
G. Rozenblum, N. Vasilevski
semanticscholar +1 more source
Fredholm Toeplitz Operators [PDF]
Proceedings of the American Mathematical Society, 1970 Whether a Toeplitz operator on H 2 {H^2} is Fredholm is shown to depend only on the local behavior of the inducing function.
Douglas, R. G., Sarason, D.
openaire +2 more sources
Hypercyclic Toeplitz Operators [PDF]
Results in Mathematics, 2016 Minor corrections.
Anton Baranov, Andrei Lishanskii
openaire +3 more sources
Toeplitz Operators on the Fock Space with Quasi-Radial Symbols [PDF]
Complex Analysis and Operator Theory, 2021 The Fock space F(Cn)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document ...
Vishwa Dewage, G. Ólafsson
semanticscholar +1 more source
Dual Toeplitz Operators on the Orthogonal Complement of the Fock–Sobolev Space
Journal of Mathematics, 2023 In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness.
Li He, Biqian Wu
doaj +1 more source