Normal and isometric weighted composition operators on the Fock space

DOI10.1112/blms/bdu046zbMath1298.47049OpenAlexW1995351089MaRDI QIDQ5495355

Trieu Le

Publication date: 4 August 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdu046

zbMATH Keywords

Fock spacecomposition operatorweighted composition operator

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items (53)

Supercyclicity and resolvent condition for weighted composition operators ⋮ Composition operators on Hilbert spaces of entire functions with analytic symbols ⋮ Unitary, self-adjoint and ᵊ5-symmetric weighted composition operators on Fock-Sobolev spaces ⋮ Slice regular weighted composition operators ⋮ Topological structures of generalized Volterra-type integral operators ⋮ Weighted composition operators that are complex symmetric on the Fock space \(\mathcal{F}^2(\mathbb{C}^n)\) ⋮ Difference of quaternionic weighted composition operators on slice regular Fock spaces ⋮ Boundedness and compactness of weighted composition operators on Fock spaces \(\mathcal {F}^{p}(\mathbb {C})\) ⋮ Complex symmetric \(C_{0}\)-semigroups on the Fock space ⋮ Closed range weighted composition operators and dynamical sampling ⋮ FINITE SUM OF COMPOSITION OPERATORS ON FOCK SPACE ⋮ A class of normal weighted composition operators on the Fock space of \(\mathbb C^n\) ⋮ Components of the space of weighted composition operators between different Fock spaces in several variables ⋮ Binormal and complex symmetric weighted composition operators on the Fock space over \(\mathbb{C} \) ⋮ Real symmetric, unitary, and complex symmetric weighted composition operators on Bergman spaces of polydisk ⋮ Self-adjoint, unitary, and isometric weighted composition operators on quaternionic Fock space ⋮ Weighted composition operators on the Fock space: iteration and semigroups ⋮ Composition operators on Fock-type spaces ⋮ Isometric weighted composition operators on weighted Bergman spaces ⋮ Integral and weighted composition operators on Fock-type spaces ⋮ Unnamed Item ⋮ Complex symmetric weighted composition operators on the Fock space in several variables ⋮ Weighted composition operators between different Fock spaces ⋮ Weighted composition operator on quaternionic Fock space ⋮ A left linear weighted composition operator on quaternionic Fock space ⋮ Invertible weighted composition operators on the Fock space of \(\mathbb{C}^N\) ⋮ Associated weights for spaces ofp-integrable entire functions ⋮ Complex symmetry of weighted composition operators on the Fock space ⋮ Weighted composition operators on the Fock space ⋮ Composition operators on weighted Banach spaces of entire functions ⋮ Unnamed Item ⋮ Differences of weighted composition operators between the Fock spaces ⋮ Toeplitz composition operators on the Fock space ⋮ Unnamed Item ⋮ Spectrum of normal weighted composition operators on the Fock space over \(\mathbb{C}^N\) ⋮ Weighted composition operators on the Mittag-Leffler spaces of entire functions ⋮ Weighted composition operators on Fock spaces and their dynamics ⋮ Convex-cyclic weighted composition operators and their adjoints ⋮ Complex symmetric evolution equations ⋮ A class of weighted composition operators on the Fock space ⋮ Spectrums and uniform mean ergodicity of weighted composition operators on Fock spaces ⋮ Continuity and holomorphicity of symbols of weighted composition operators ⋮ A class of \(C\)-normal weighted composition operators on Fock space \(\mathcal{F}^2 (\mathbb{C})\) ⋮ Weighted composition operators on the Fock space ⋮ Isometric multiplication operators and weighted composition operators of BMOA ⋮ Products of Volterra type operators and composition operators between Fock spaces ⋮ Unbounded weighted composition operators on Fock space ⋮ Which multiplication operators are surjective isometries? ⋮ Multi-valued weighted composition operators on Fock space ⋮ Bounded composition operators on general weighted Hardy spaces ⋮ Note on a class of k-paranormal weighted composition operators on the Fock space Fp(C) ⋮ Dynamics of weighted composition operators and their adjoints on the Fock space ⋮ Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces

Cites Work

• Hermitian weighted composition operators and Bergman extremal functions
• Self-adjoint, unitary, and normal weighted composition operators in several variables
• A new class of operators and a description of adjoints of composition operators
• Weighted composition operators on \(H^{2}\) and applications
• Normal weighted composition operators on the Hardy space
• An analytic Toeplitz operator that commutes with a compact operator and a related class of Toeplitz operators
• Composition operators and classical function theory
• Weighted composition operators between different Hardy spaces
• Toeplitz operators on the Fock space: Radial component effects.
• Analysis on Fock Spaces
• Hermitian weighted composition operators on $H^{2}$
• Weighted composition operator on the Fock space
• The Commutant of an Analytic Toeplitz Operator
• WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE
• The Isometries of H^p
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