Results 311 to 320 of about 190,726 (359)

Eigenvalues of Adjoints of Certain Composition Operators and Weighted Composition Operators

Integral Equations and Operator Theory, 2014
The paper is concerned with the spectral theory of composition operators on the Hardy space \(H^2\) of the unit disk. The author proves that, under certain conditions on the symbol \(\varphi \) (involving in particular fixed points), the point-spectrum of the adjoint \(C_\varphi^*\) of \(C_\varphi\) contains a disk centered at the origin.
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Weighted Composition Operators that Preserve Frames

Integral Equations and Operator Theory, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jasbir Singh Manhas, Gabriel T. Prajitura, Ruhan Zhao   +2 more
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Difference of weighted composition operators

Journal of Functional Analysis, 2020
The main result of the paper is a complete characterizations in terms of Carleson measures for bounded/compact differences of weighted composition operators acting on the standard weighted Bergman spaces over the unit disk. Here, the weight functions are non-holomorphic and unbounded. Several applications of this result are obtained.
Boo Rim Choe, Koeun Choi, Hyungwoon Koo, Jongho Yang   +3 more
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Commutators of weighted composition operators

International Journal of Mathematics, 2014
In this paper, we prove that if the composition symbols φ and ψ are linear fractional non-automorphisms of 𝔻 such that φ(ζ) and ψ(ζ) belong to ∂𝔻 for some ζ ∈ ∂𝔻 and u, v ∈ H∞ are continuous on ∂𝔻 with u(ζ)v(ζ) ≠ 0, then [Formula: see text] is compact on H2 if and only if ζ is the common boundary fixed point of φ and ψ and one of the following ...
Jung, Sungeun, Kim, Yoenha, Ko, Eungil
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Comment to: Dynamics of Weighted Composition Operators

Complex Analysis and Operator Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bès, J., Foster, C.
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On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces

Complex Analysis and Operator Theory
In this article, we completely characterize the Berezin range of Toeplitz operators with harmonic symbols acting on weighted Bergman spaces, illustrating the necessity of the harmonicity condition through examples.
Anirban Sen, Somdatta Barik, Kallol Paul
semanticscholar   +1 more source

Notes on Hypercyclicity of Composition Operator on the Weighted Dirichlet Spaces

Complex Analysis and Operator Theory, 2022
Li Zhang, Ze‐hua Zhou, Liangcai Zhang, Hui Lu   +3 more
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2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane

Complex Analysis and Operator Theory, 2023
Yan-fu Xue, Zhi-jie Jiang, Cheng-Shi Huang   +2 more
semanticscholar   +1 more source

Fredholm weighted composition operators

Integral Equations and Operator Theory, 1993
For a compact Hausdorff space \(X\) and some functional space \(F(X)\) on \(X\) a weighted composition operator is defined as \(uC_ \varphi f(x):=u(x)f(\varphi (x))\), where \(\varphi: X\to X\) is an automorphism. The author obtains criteria for the operator \(uC_ \varphi: C(X)\to C(X)\) to be a Fredholm operator and finds that in the case when \(X ...
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Differences of Weighted Composition Operators on

2009
Nous étudions la délimitation et la compacité des différences des opérateurs de composition pondérée sur les espaces de Banach pondérés dans la boule unitaire de .
Jianhui Dai, Chuying Ouyang
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