Almost-Lp-projections and Lp isomorphisms

DOI10.1017/S0308210500023921zbMath0688.46019OpenAlexW2265916479MaRDI QIDQ4207248

Michael Cambern, Georg Wodinski, Krzysztof Jarosz

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500023921

zbMATH Keywords

\(L^ p\)-projections in Banach spacesabsence of non- trivial \(L^ p\)-summandsalmost-\(L^ p\)-projectionssmall-bound isomorphisms of Bochner \(L^ p\)-spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Linear operators on function spaces (general) (47B38) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (1)

Hahn-Banach extension operators and spaces of operators

Cites Work

• Perturbations of Banach algebras
• On the isometries of certain function-spaces
• Near isometries in the class of \(L^1\)-preduals
• The isometries of \(L^p(\Omega,)\)
• The isometries of L\(^p\)(X,K)
• Hilbert spaces have the Banach-Stone property for Bochner spaces

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