Hilbert spaces have the Banach-Stone property for Bochner spaces

DOI10.1017/S0004972700011540zbMath0496.46023MaRDI QIDQ3961324

Peter Greim

Publication date: 1983

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

integral module representationnon-separable casep- Banach-Stone propertysurjective isometries between separably-valued Bochner Lp-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) Geometry and structure of normed linear spaces (46B20) Vector-valued measures and integration (46G10)

Related Items (2)

Hilbert spaces have the strong Banach-Stone property for Bochner spaces ⋮ Almost-L^p-projections and L^p isomorphisms

Cites Work

• On the isometries of certain function-spaces
• The centralizer of Bochner \(L^\infty\)-spaces
• The isometries of \(L^p(\Omega,)\)
• The isometries of L\(^p\)(X,K)

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