The isometries of \(L^p(\Omega,)\)

DOI10.1016/0022-1236(78)90075-7zbMath0396.47020OpenAlexW1977810682MaRDI QIDQ1253429

Ahmed Ramzi Sourour

Publication date: 1978

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90075-7

zbMATH Keywords

Linear Isometries on Lp-SpacesSet Isomorphisms

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear operators on function spaces (general) (47B38)

Related Items

Hilbert spaces have the Banach-Stone property for Bochner spaces ⋮ Isometries of Orlicz spaces of vector valued functions ⋮ Hermitian operators and isometries on sums of Banach spaces ⋮ Bicircular projections on some Banach spaces ⋮ Hermitian projections on some Banach spaces and related topics ⋮ Isometries of symmetric operator spaces associated with AFD factors of type II and symmetric vector-valued spaces ⋮ Surjective isometries on absolutely continuous vector valued function spaces ⋮ Almost transitivity of some function spaces ⋮ Isometries of norm ideals of compact operators ⋮ The centralizer of Bochner \(L^\infty\)-spaces ⋮ Algebraic and topological reflexivity properties of \(l^p(X)\)spaces ⋮ Isometries and isometric equivalence of hermitian operators on \(A^{1,p}(X)\) ⋮ Generalized bi-circular projections ⋮ Isometric multipliers of \(L^p(G, X)\) ⋮ Isometries of James spaces ⋮ Isometries of measurable functions ⋮ Hilbert spaces have the strong Banach-Stone property for Bochner spaces ⋮ Almost-L^p-projections and L^p isomorphisms

Cites Work

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• On the isometries of certain function-spaces
• The isometries of L\(^p\)(X,K)
• Isometries of certain function spaces
• On the isometries of reflexive Orlicz spaces
• Adjoint Abelian Operators on L p and C(K)
• On the isometries of 𝐿^{𝑝}(Ω,𝑋)
• The hermitian operators on some Banach spaces