Biseparating linear maps between continuous vector-valued function spaces

DOI10.1017/S1446788700003153zbMath1052.47017OpenAlexW2128079813MaRDI QIDQ4709359

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Publication date: 2003

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

Full work available at URL: https://doi.org/10.1017/s1446788700003153

zbMATH Keywords

weighted composition operatorvector-valued function spacesBanach-Stone theoremsbiseparating maps

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items (19)

Orthogonality preserving pairs of operators on Hilbert C₀(Z)-modules ⋮ Disjointness preserving maps between vector-valued group algebras ⋮ Nonlinear order isomorphisms on function spaces ⋮ Additive jointly separating maps and ring homomorphisms ⋮ Linear biseparating maps between vector-valued little Lipschitz function spaces ⋮ Biseparating maps on Fréchet function algebras ⋮ Banach-Stone theorems for disjointness preserving relations ⋮ Subadditive Banach module valued separating maps ⋮ Banach-Stone theorems for vector valued functions on completely regular spaces ⋮ On Some Linear Operators Preserving Disjoint Support Property ⋮ A Banach-Stone theorem for Riesz isomorphisms of Banach lattices ⋮ Disjointness preserving linear operators between Banach algebras of vector-valued functions ⋮ LINEAR ORTHOGONALITY PRESERVERS OF HILBERT BUNDLES ⋮ The Banach--Stone theorem revisited ⋮ Banach-Stone theorems for maps preserving common zeros ⋮ The Kalton and Rosenthal type decomposition of operators in Köthe-Bochner spaces ⋮ Biseparating maps between Lipschitz function spaces ⋮ SEPARATING LINEAR MAPS OF CONTINUOUS FIELDS OF BANACH SPACES ⋮ Zero product preserving functionals on \(C(\varOmega)\)-valued spaces of functions

Cites Work

• Into isometries of \(C_ 0(X,E)s\)
• Automatic continuity of linear maps on spaces of continuous functions
• A representation theorem for isometries of C(X,E)
• On separating maps between locally compact spaces
• A characterization of operators preserving disjointness in terms of their inverse
• Banach-Stone theorems and separating maps
• Weighted composition operators of \(C_0 (X)\)'s
• When is a separating map biseparating?
• The space of bounded maps into a Banach space
• Automatic Continuity of Separating Linear Isomorphisms
• A Nonarchimedean Stone-Banach Theorem
• A solution to a problem on invertible disjointness preserving operators

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