Algebraic reflexivity of isometry groups of algebras of Lipschitz maps

DOI10.1016/j.laa.2018.12.033zbMath1420.46009OpenAlexW2907172491MaRDI QIDQ1736240

Shiho Oi

Publication date: 26 March 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.12.033

zbMATH Keywords

algebraic reflexivitysurjective linear isometryvector valued Lipschitz maps

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Banach algebras of continuous functions, function algebras (46J10) Isometric theory of Banach spaces (46B04)

Related Items (12)

Reflexivity of sets of isometries on bounded variation function spaces ⋮ Algebraic reflexivity of isometries on spaces of continuously differentiable functions ⋮ Isometries and approximate local isometries between \(\mathrm{AC}^p (X)\)-spaces ⋮ Local isometries on subspaces and subalgebras of function spaces ⋮ On local isometries between algebras of \(C(Y)\)-valued differentiable maps ⋮ 2-local isometries on vector-valued differentiable functions ⋮ Kakutani's automorphism theorem for vector-valued bounded holomorphic functions ⋮ Algebraic reflexivity of diameter-preserving linear bijections between \(C(X)\)-spaces ⋮ Topological reflexivity of isometries on algebras of \(C(Y)\)-valued Lipschitz maps ⋮ A SPHERICAL VERSION OF THE KOWALSKI–SŁODKOWSKI THEOREM AND ITS APPLICATIONS ⋮ Algebraic reflexivity of sets of bounded linear operators on absolutely continuous function spaces ⋮ Local and 2-local isometries between absolutely continuous function spaces

Cites Work

• Homomorphisms between algebras of Lipschitz functions with the values in function algebras
• Algebraic reflexivity of sets of bounded operators on vector valued Lipschitz functions
• Weak-2-local isometries on uniform algebras and Lipschitz algebras
• Local derivations
• Algebraic reflexivity of the isometry group of some spaces of Lipschitz functions
• Banach algebras of Lipschitz functions
• Isometries on Banach algebras of vector-valued maps
• Linear isometries between spaces of vector-valued Lipschitz functions
• Isometries Between Function Spaces
• Reflexivity, Algebraic Reflexivity and Linear Interpolation
• Reflexivity of the group of surjective isometries on some Banach spaces
• Linear isometries of subspaces of spaces of continuous functions
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