A class of \(C\)-normal weighted composition operators on Fock space \(\mathcal{F}^2 (\mathbb{C})\)

DOI10.1016/j.jmaa.2021.125896zbMath1496.47046OpenAlexW4200423062MaRDI QIDQ2069925

Sudip Ranjan Bhuia

Publication date: 21 January 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125896

zbMATH Keywords

composition operatorsnormal operatorsreproducing kernel Hilbert spaceweighted composition operatorSegal-Bargmann space

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear composition operators (47B33) Bergman spaces and Fock spaces (30H20)

Related Items (2)

An interpolation problem for conjugations. III ⋮ A note on \(C\)-normal weighted composition operators on the Fock space in several variables

Cites Work

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• Complex symmetry of weighted composition operators on the Fock space
• On properties of \(C\)-normal operators
• Complex symmetric weighted composition operators on \(H^2(\mathbb{D})\)
• Unitary weighted composition operators on the Fock space of \(\mathbb C ^n\)
• Some new classes of complex symmetric operators
• Complex symmetric operators and applications II
• $C$--normal operators
• Which Weighted Composition Operators are Complex Symmetric?
• Normal and isometric weighted composition operators on the Fock space
• Complex symmetric operators and applications

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