Results 21 to 30 of about 4,199,505 (352)

2-Complex Symmetric Composition Operators on H2

open access: yesAxioms, 2022
In this paper, we study 2-complex symmetric composition operators with the conjugation J, defined by Jf(z)=(f(z¯))¯, on the Hardy space H2. More precisely, we obtain the necessary and sufficient condition for the composition operator Cϕ to be 2-complex ...
Lian Hu, Songxiao Li, Rong Yang
doaj   +1 more source

Fredholm Weighted Composition Operator on Weighted Hardy Space

open access: yes, 2013
This paper gives a unified characterization of Fredholm weighted composition operator on a class of weighted Hardy spaces.
Liankuo Zhao
semanticscholar   +1 more source

Difference of composition operators on weighted Bergman spaces over the half-plane

open access: yesJournal of Inequalities and Applications, 2016
Recently, the bounded, compact and Hilbert-Schmidt difference of composition operators on the Bergman spaces over the half-plane are characterized in (Choe et al. in Trans. Am. Math. Soc., 2016, in press).
Maocai Wang, Changbao Pang
doaj   +1 more source

Spectra of Weighted Composition Operators with Quadratic Symbols

open access: yesConcrete Operators, 2022
Previously, spectra of certain weighted composition operators W ѱ, φ on H2 were determined under one of two hypotheses: either φ converges under iteration to the Denjoy-Wolff point uniformly on all of 𝔻 rather than simply on compact subsets, or φ is ...
Doctor Jessica   +4 more
doaj   +1 more source

Norms of a Product of Integral and Composition Operators between Some Bloch-Type Spaces

open access: yesAxioms, 2023
We present some formulas for the norm, as well as the essential norm, of a product of composition and an integral operator between some Bloch-type spaces of analytic functions on the unit ball, in terms of given symbols and weights.
Stevo Stević
doaj   +1 more source

On Numerical Approximations of the Koopman Operator [PDF]

open access: yesMathematics, 2020
We study numerical approaches to computation of spectral properties of composition operators. We provide a characterization of Koopman Modes in Banach spaces using Generalized Laplace Analysis.
I. Mezić
semanticscholar   +1 more source

Local spectral theory of endomorphisms of the disk algebra

open access: yesDemonstratio Mathematica, 2016
Let A(𝔻) denote the disk algebra. Every endomorphism of A(𝔻) is induced by some ϕ ∈ A(𝔻) with ‖ϕ‖ ≤ 1. In this paper, it is shown that if ϕ is not an automorphism of 𝔻 and ϕ has a fixed point in the open unit disk then the endomorphism induced by ϕ is ...
Trivedi Shailesh, Chandra Harish
doaj   +1 more source

Power bounded and power bounded below composition operators on Dirichlet Type spaces

open access: yesAIMS Mathematics, 2021
Motivated by [11,12], under some conditions on weighted function K, we investigated power bounded and power bounded below composition operators on Dirichlet Type spaces $ {\mathcal{D}_{K}} $.
Liu Yang, Ruishen Qian
doaj   +1 more source

Skew-symmetric and essentially unitary operators via Berezin symbols

open access: yesOpen Mathematics, 2020
We characterize skew-symmetric operators on a reproducing kernel Hilbert space in terms of their Berezin symbols. The solution of some operator equations with skew-symmetric operators is studied in terms of Berezin symbols.
Altwaijry Najla   +3 more
doaj   +1 more source

Composition Operator on Bergman-Orlicz Space

open access: yesJournal of Inequalities and Applications, 2009
Let denote the open unit disk in the complex plane and let denote the normalized area measure on . For and a twice differentiable, nonconstant, nondecreasing, nonnegative, and convex function on , the Bergman-Orlicz space is defined as ...
Jiang Zhijie, Cao Guangfu
doaj   +2 more sources

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