Weakly compact composition operators between algebras of bounded analytic functions

DOI10.1090/S0002-9939-99-05196-5zbMath0945.47016OpenAlexW1497095710MaRDI QIDQ4700157

Mikael Lindström, Pablo Galindo, Raymond A. Ryan

Publication date: 1 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05196-5

zbMATH Keywords

compactnessDunford-Pettis propertyweak continuityapproximation propertycomplete continuity\(H^\infty\)continuous polynomialsanalytic mapping on infinite dimensional Banach spaceweakly compact composition operator

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces of operators; tensor products; approximation properties (46B28) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (Spaces of) multilinear mappings, polynomials (46G25) Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (6)

Interpolating sequences for bounded analytic functions ⋮ Composition operators and multiplication operators on weighted spaces of analytic functions ⋮ Mean ergodic composition operators on spaces of holomorphic functions on a Banach space ⋮ Composition and translation operators on certain subspaces of the space of entire functions of bounded type ⋮ Interpolating sequences forH^∞(B_H) ⋮ Connected components in the space of composition operators on \(H^\infty\) functions of many variables

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