Hilbert spaces have the strong Banach-Stone property for Bochner spaces

DOI10.1007/BF01160892zbMath0618.46040MaRDI QIDQ1822309

James E. Jamison, Peter Greim

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173899

zbMATH Keywords

density charactermeasure algebrasBanach- Stone theoremsexplicit description of the isometriessurjective isometries between separably-valued Bochner 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)

Related Items (1)

Almost transitivity of some function spaces

Cites Work

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• On the isometries of certain function-spaces
• The isometries of \(L^p(\Omega,)\)
• The isometries of L\(^p\)(X,K)
• Banach Spaces with the L 1 -Banach-Stone Property
• Isometries of measurable functions
• Hilbert spaces have the Banach-Stone property for Bochner spaces

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