Biseparating maps and homeomorphic real-compactifications
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Publication:1895337
DOI10.1006/jmaa.1995.1170zbMath0828.47024OpenAlexW2073940614MaRDI QIDQ1895337
Lawrence Narici, Edward Beckenstein, Jesús Araujo
Publication date: 8 January 1996
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1995.1170
Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10)
Related Items (28)
Continuity of injective basis separating maps ⋮ A generalization of a theorem on biseparating maps. ⋮ When is a separating map biseparating? ⋮ Disjointness Preservers and Banach-Stone Theorems ⋮ Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity ⋮ Separating maps and the nonarchimedean Hewitt theorem ⋮ Nonlinear order isomorphisms on function spaces ⋮ Biseparating maps between operator 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 ⋮ Weighted composition operators on \(C(X)\) and \(\text{Lip}_c(X,\alpha)\) ⋮ An open mapping theorem for basis separating maps. ⋮ Automatic continuity of certain isomorphisms between regular Banach function algebras ⋮ Weight-preserving isomorphisms between spaces of continuous functions: the scalar case ⋮ The Banach--Stone theorem revisited ⋮ The structure of linear zero product and commutativity preservers of \(C^*\)-algebras ⋮ Compact and weakly compact disjointness preserving operators on spaces of differentiable functions ⋮ Disjointness preservers of \(AW^\ast\)-algebras ⋮ Banach-Stone theorems for maps preserving common zeros ⋮ Automatic continuity of biseparating homomorphisms defined between groups of continuous functions ⋮ Stability of weighted point evaluation functionals ⋮ ℕ-compactness and weighted composition maps ⋮ A strongly diagonal power of algebraic order bounded disjointness preserving operators ⋮ Maximal ideals of disjointness preserving operators ⋮ Unnamed Item ⋮ Separating maps and linear isometries between some spaces of continuous functions ⋮ Banach-Stone theorems and Riesz algebras
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