Results 11 to 20 of about 1,388 (218)

Commuting Toeplitz and Hankel Operators on Harmonic Dirichlet Spaces [PDF]

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
doaj   +2 more sources

Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy space [PDF]

Comptes Rendus. Mathématique
Using Douglas theorem on factorization and range inclusion of bounded linear operators, we give the factorization of Hankel operators, range inclusion of Hankel and Toeplitz operators defined on vector-valued Hardy spaces.
Bhuia, Sudip Ranjan
doaj   +2 more sources

Unbounded Integral Hankel Operators [PDF]

Functional Analysis and Its Applications
For a wide class of unbounded integral Hankel operators on the positive half-line, we prove essential self-adjointness on the set of smooth compactly supported functions.
Pushnitski, Alexander, Treil, Sergei
core   +7 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

Asymmetric Truncated Hankel Operators: Rank One, Matrix Representation

Journal of Function Spaces, 2021
Asymmetric truncated Hankel operators are the natural generalization of truncated Hankel operators. In this paper, we determine all rank one operators of this class.
Firdaws Rahmani, Yufeng Lu, Ran Li
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Hankel and Toeplitz operators: continuous and discrete representations [PDF]

Opuscula Mathematica, 2017
We find a relation guaranteeing that Hankel operators realized in the space of sequences \(\mathcal{l}^2 (\mathbb{Z}_{+})\) and in the space of functions \(L^2 (\mathbb{R}_{+})\) are unitarily equivalent.
Dmitri R. Yafaev
doaj   +1 more source

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.
doaj   +1 more source

Hankel operators between different doubling Fock spaces

Journal of Inequalities and Applications, 2022
In this paper, we study Hankel operators on the doubling Fock spaces for all possible 1 ≤ p , q < ∞ $1\leq p ...
Jianjun Chen, Guangxia Xu
doaj   +1 more source

Integrable operators and squares of Hankel operators. [PDF]

, 2007
Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, G., Blower, Gordon
core   +1 more source

Matrices related to some Fock space operators [PDF]

Opuscula Mathematica, 2011
Matrices of operators with respect to frames are sometimes more natural and easier to compute than the ones related to bases. The present work investigates such operators on the Segal-Bargmann space, known also as the Fock space.
Krzysztof Rudol
doaj   +1 more source