Linear sums of two composition operators on the Fock space

DOI10.1016/j.jmaa.2010.02.029zbMath1190.47026OpenAlexW2003528897MaRDI QIDQ982572

Hyungwoon Koo, Boo Rim Choe, Kou Hei Izuchi

Publication date: 7 July 2010

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.2010.02.029

zbMATH Keywords

Fock spacecomposition operatorlinear sum

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear composition operators (47B33) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (22)

Composition operators on Hilbert spaces of entire functions with analytic symbols ⋮ Unitary, self-adjoint and ᵊ5-symmetric weighted composition operators on Fock-Sobolev spaces ⋮ Composition operators on Hilbert spaces of entire functions of several variables ⋮ Linear combination of composition operators on \(H^\infty\) and the Bloch space ⋮ 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 ⋮ Linear combinations of composition operators on the Fock-Sobolev spaces ⋮ Characterization for Fock-type space via higher order derivatives and its application ⋮ Difference of composition operators on spaces of vector-valued holomorphic functions ⋮ Difference of composition operators over the half-plane ⋮ Compact double differences of composition operators on the Bergman spaces ⋮ Compact double differences of composition operators over the half-plane ⋮ Differences of weighted composition operators between the Fock spaces ⋮ Toeplitz composition operators on the Fock space ⋮ Some characterizations for composition operators on the Fock spaces ⋮ Linear fractional composition operators over the half-plane ⋮ Topological components of the space of composition operators on Fock spaces ⋮ Topological structure of the space of composition operators between different Fock spaces ⋮ Linear combination of two composition operators between different Fock spaces ⋮ Equivalent norms on Fock spaces with some application to extended Cesaro operators ⋮ Bounded composition operators on general weighted Hardy spaces

Cites Work

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• Isolation amongst the composition operators
• Compact differences of composition operators on Bloch and Lipschitz spaces
• On the connected component of compact composition operators on the Hardy space
• Composition operators and classical function theory
• Compact differences of composition operators
• On compactness of the difference of composition operators
• Linear combinations of composition operators on \(H^{\infty }\)
• Essential norms of differences of composition operators on \(H^{\infty}\)
• Isolated points and essential components of composition operators on 𝐻^{∞}
• Linear relations in the Calkin algebra for composition operators
• Composition Operators Isolated in the Uniform Operator Topology
• Composition Operators Belonging to the Schatten Ideals
• Trace Ideal Criteria for Composition Operators on Bergman Spaces
• Linear Combinations of Composition Operators on the Bloch Spaces
• Topological structure of the space of composition operators on \(H^\infty\).

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