Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity

DOI10.1016/j.aim.2003.09.007zbMath1073.47031OpenAlexW1970775198MaRDI QIDQ1882624

Jesús Araujo

Publication date: 1 October 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2003.09.007

zbMATH Keywords

automatic continuitybiseparating mapsvector-valued differentiable functions

Mathematics Subject Classification ID

Automatic continuity (46H40) Spaces of vector- and operator-valued functions (46E40) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (20)

Disjointness Preservers and Banach-Stone Theorems ⋮ Nonlinear order isomorphisms on function spaces ⋮ Linear biseparating maps between vector-valued little Lipschitz function spaces ⋮ Banach-Stone theorem for isometries on spaces of vector-valued differentiable functions ⋮ Maps preserving common zeros between subspaces of vector-valued continuous functions ⋮ Banach-Stone theorems for disjointness preserving relations ⋮ LINEAR ORTHOGONALITY PRESERVERS OF HILBERT BUNDLES ⋮ Compact and weakly compact disjointness preserving operators on spaces of differentiable functions ⋮ Banach-Stone theorems for maps preserving common zeros ⋮ Local operators on \(C^p\) ⋮ The Kalton and Rosenthal type decomposition of operators in Köthe-Bochner spaces ⋮ Logarithmic submajorisation and order-preserving linear isometries ⋮ Disjointness-preserving orthogonally additive operators in vector lattices ⋮ Surjective isometries on vector-valued differentiable function spaces ⋮ Isometries between spaces of vector-valued differentiable functions ⋮ Biseparating maps between Lipschitz function spaces ⋮ Orthogonally additive holomorphic maps between C$^{*}$-algebras ⋮ Inverses of disjointness preserving operators ⋮ Linear orthogonality preservers of Hilbert $C^{*}$-modules over $C^{*}$-algebras with real rank zero ⋮ Surjective isometries on the vector-valued differentiable function spaces

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