A short proof of Pitt’s compactness theorem

DOI10.1090/S0002-9939-08-09617-2zbMath1171.46013MaRDI QIDQ3623350

Sylvain Delpech

Publication date: 17 April 2009

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

zbMATH Keywords

compact operatorsPitt's theorem\(\ell_p\)-spacesproperty~\((m_p)\)

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Linear operators defined by compactness properties (47B07)

Related Items (7)

Unnamed Item ⋮ Morrey sequence spaces: Pitt's theorem and compact embeddings ⋮ On the wellposedness of the KdV/KdV2 equations and their frequency maps ⋮ A complete characterization of smoothness in the space of bounded linear operators ⋮ Asymptotic structure and the existence of noncompact operators between Banach spaces ⋮ THE POSITION OF IN ⋮ An overview of some recent developments on the Invariant Subspace Problem

Cites Work

• A “nonlinear” proof of Pitt’s compactness theorem
• Functional analysis and infinite-dimensional geometry

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