Spectra of Weighted Composition Operators on Analytic Function Spaces
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DOI: 10.1007/s00009-019-1465-0
Abstract: Let E be a complex Banach space with open unit ball $$B_E.$$BE. For analytic self-maps $$\varphi $$φ of $$B_E$$BE with $$\varphi (0) =0,$$φ(0)=0, we investigate the spectra of weighted composition operators $$uC_\varphi $$uCφ acting on… read more here.
Keywords: weighted composition; analytic function; operators analytic; spectra weighted ... See more keywords
Co-Isometric Weighted Composition Operators on Hilbert Spaces of Analytic Functions
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DOI: 10.1007/s00025-020-01253-w
Abstract: We obtain a necessary and sufficient condition for a weighted composition operator to be co-isometric on a general weighted Hardy space of analytic functions in the unit disk whose reproducing kernel has the usual natural… read more here.
Keywords: weighted composition; analytic functions; isometric weighted; operators hilbert ... See more keywords
Essential spectra of weighted composition operators induced by elliptic automorphisms
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DOI: 10.1007/s00209-021-02880-x
Abstract: The spectrum of a weighted composition operator $C_{\psi, \varphi}$ who is induced by an automorphism has been investigated for over fifty years. However, many results are got only under the condition that the weight function… read more here.
Keywords: essential spectra; weighted composition; spectra weighted; composition operators ... See more keywords
Asymptotic Tu-Toeplitzness of weighted composition operators on H2
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DOI: 10.1007/s11425-017-9110-7
Abstract: Given a unilateral forward shift S acting on a complex, separable, innite dimensional Hilbert space H, an asymptotically S-Toeplitz operator is a bounded linear operator T on H satisfying that {S*nTSn} is convergent with respect… read more here.
Keywords: toeplitzness weighted; weighted composition; asymptotic toeplitzness; composition operators ... See more keywords
Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces
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DOI: 10.1007/s13324-022-00651-3
Abstract: In the paper, we investigate weighted composition operators on Bergman spaces of a half-plane. We characterize weighted composition operators which are hermitian and those which are complex symmetric with respect to a family of conjugations.… read more here.
Keywords: composition operators; complex symmetric; bergman spaces; weighted composition ... See more keywords
Weighted composition operators induced by strongly measurable functions
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DOI: 10.1007/s13370-018-0596-y
Abstract: In this paper, we describe multiplication and weighted composition operators induced by functions which either are strongly $$\mu $$μ-normable measurable or have strong $$\mu $$μ-measurability of the orbits on Lorentz–Karamata–Bochner (LKB) spaces $$L_{p,q;b}$$Lp,q;b, where $$1<… read more here.
Keywords: weighted composition; operators induced; induced strongly; strongly measurable ... See more keywords
Antinormal weighted composition operators on $$L^2(\mu )-$$L2(μ)-space of an atomic measure space
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DOI: 10.1007/s40065-018-0228-2
Abstract: Let $$L^2(\mu )$$L2(μ) denote the separable Hilbert space associated with a $$\sigma $$σ-finite atomic measure $$\mu $$μ. In this paper, we determine necessary and sufficient conditions for boundedness of weighted composition transformation on $$L^2(\mu )$$L2(μ)… read more here.
Keywords: weighted composition; space; composition operators; atomic measure ... See more keywords
Spectrums and Uniform Mean Ergodicity of Weighted Composition Operators on Fock Spaces
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DOI: 10.1007/s40840-021-01203-x
Abstract: For holomorphic pairs of symbols $$(u, \psi )$$ ( u , ψ ) , we study various structures of the weighted composition operator $$ W_{(u,\psi )} f= u \cdot f(\psi )$$ W ( u ,… read more here.
Keywords: fock spaces; weighted composition; uniform mean; mean ergodicity ... See more keywords
Weighted Composition Lambert-Type Operators via Matrix Representation
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DOI: 10.1007/s41980-019-00224-4
Abstract: In this note, we discuss matrix theoretic characterizations for weighted composition Lambert-type operators of the form \(T_{\varphi }: = M_{w}EM_{u}C_\varphi \) in some operator classes on \(\ell ^2(\mathbb {N}_0),\) such as quasinormal, hyponormal, binormal, n-hyponormal,… read more here.
Keywords: lambert type; composition lambert; type operators; weighted composition ... See more keywords
Compact-type weighted composition operators between $$L^p$$-spaces
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DOI: 10.1007/s43037-020-00068-9
Abstract: We completely characterize compact weighted composition operators between $$L^p$$-spaces. The relations among compactness, completely continuity, weakly compactness and M-weakly compactness of these operators are also investigated. read more here.
Keywords: weighted composition; compact type; type weighted; composition operators ... See more keywords
Weighted composition operators between large Fock spaces in several complex variables
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DOI: 10.1016/j.jfa.2019.04.008
Abstract: Abstract Let ϕ be an entire self-map of C n , and let u be an entire function on C n . A weighted composition operator induced by ϕ with weight u is given by… read more here.
Keywords: fock spaces; weighted composition; operators large; composition operators ... See more keywords