Banach-Stone theorem for Banach lattice valued continuous functions

DOI10.1090/S0002-9939-07-08788-6zbMath1127.46026MaRDI QIDQ5291927

Süleyman Önal, Zafer Ercan

Publication date: 19 June 2007

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

zbMATH Keywords

Banach latticeBanach-Stone theoremRiesz isomorphism

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Banach lattices (46B42)

Related Items (9)

Maps preserving common zeros between subspaces of vector-valued continuous functions ⋮ Isometries between generalized Nachbin weighted spaces: a Banach-Stone type theorem ⋮ A Banach-Stone theorem for Riesz isomorphisms of Banach lattices ⋮ The Banach--Stone theorem revisited ⋮ Banach-Stone theorems for maps preserving common zeros ⋮ Riesz isomorphisms of tensor products of order unit Banach spaces ⋮ The uniform separation property and Banach–Stone theorems for lattice-valued Lipschitz functions ⋮ Nonvanishing preservers and compact weighted composition operators between spaces of Lipschitz functions ⋮ Orthogonally additive holomorphic maps between C$^{*}$-algebras

Cites Work

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• On separating maps between locally compact spaces
• A lattice-valued Banach-Stone theorem
• An answer to a question of Cao, Reilly and Xiong

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