The uniform separation property and Banach–Stone theorems for lattice-valued Lipschitz functions

DOI10.1090/S0002-9939-09-09941-9zbMath1202.46043OpenAlexW2032946268MaRDI QIDQ3642664

Moisés Villegas-Vallecillos, A. Morales Campoy, Antonio Jiménez-Vargas

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09941-9

zbMATH Keywords

Banach-Stone theoremsspaces of lattice-valued Lipschitz functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Lattices of continuous, differentiable or analytic functions (46E05)

Related Items (4)

Maps preserving common zeros between subspaces of vector-valued continuous functions ⋮ Isometries between generalized Nachbin weighted spaces: a Banach-Stone type theorem ⋮ Banach-Stone theorems for vector valued functions on completely regular spaces ⋮ Nonvanishing preservers and compact weighted composition operators between spaces of Lipschitz functions

Cites Work

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• Memorandum on multiplicative bijections and order
• The Banach--Stone theorem revisited
• Lattices of Lipschitz functions
• A lattice-valued Banach-Stone theorem
• Homomorphisms on function lattices
• Order completeness in Lipschitz algebras
• Subalgebras of little Lipschitz algebras
• Lipschitz-type functions on metric spaces
• Ordered linear spaces
• Banach-Stone theorems and Riesz algebras
• A Banach-Stone theorem for Riesz isomorphisms of Banach lattices
• Quotients of little Lipschitz algebras
• Banach-Stone theorem for Banach lattice valued continuous functions

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