Geometric properties of composition operators belonging to Schatten classes

DOI10.1155/S0161171201003726zbMath0996.47034MaRDI QIDQ5945302

Yongsheng Zhu

Publication date: 10 October 2001

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49472

zbMATH Keywords

analytic function mapping the unit disk into itselfcompact composition operatorcomposition operatorgeometry of the image domainLotto's conjecturesSchatten classes

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear composition operators (47B33)

Related Items (8)

On Shapiro's compactness criterion for composition operators ⋮ Trace ideal criteria for embeddings and composition operators on model spaces ⋮ A brief note on compactness of composition operators on H² ⋮ Some examples of compact composition operators on \(H^2\) ⋮ Some characterizations for composition operators on the Fock spaces ⋮ Compact composition operators on \(H^2\) and Hardy--Orlicz spaces ⋮ On approximation numbers of composition operators ⋮ Decay rates for approximation numbers of composition operators

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