2-local standard isometries on vector-valued Lipschitz function spaces

DOI10.1016/j.jmaa.2018.01.029OpenAlexW2963367614MaRDI QIDQ1706541

Lei Li, Ya-Shu Wang, Antonio M. Peralta, Li Guang Wang, Antonio Jiménez-Vargas

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.02897

zbMATH Keywords

isometryLipschitz function2-iso-reflexive2-local isometry

Mathematics Subject Classification ID

Operator theory (47-XX) General topology (54-XX)

Related Items (11)

Two-local isometries on vector-valued differentiable functions ⋮ 2-local isometries on vector-valued differentiable functions ⋮ 2-local isometries between spaces of functions of bounded variation ⋮ 2-iso-reflexivity of pointed Lipschitz spaces ⋮ A Survey on Isometries Between Lipschitz Spaces ⋮ Topological reflexivity of isometries on algebras of \(C(Y)\)-valued Lipschitz maps ⋮ \(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems ⋮ A SPHERICAL VERSION OF THE KOWALSKI–SŁODKOWSKI THEOREM AND ITS APPLICATIONS ⋮ Hermitian operators and isometries on Banach algebras of continuous maps with values in unital commutative \(C^\ast\)-algebras ⋮ 2-local isometries on function spaces ⋮ On 2-local *-automorphisms and 2-local isometries of \(\mathscr{B}(H)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Weak-2-local symmetric maps on \(C^\ast\)-algebras
• 2-local derivations and automorphisms on \(B(H)\)
• A Kowalski-Słodkowski theorem for 2-local \({}^\ast\)-homomorphisms on von Neumann algebras
• 2-local derivations on von Neumann algebras
• Stability of derivations under weak-2-local continuous perturbations
• On a generalized Šemrl's theorem for weak 2-local derivations on \(B(H)\)
• Extreme points and isometries on vector-valued Lipschitz spaces
• Noncompactness and noncompleteness in isometries of Lipschitz spaces
• Weak-2-local \({}^{\ast}\)-derivations on \(B(H)\) are linear \({}^{\ast}\)-derivations
• On 2-local isometries on continuous vector-valued function spaces
• Inner derivations and weak-2-local derivations on the \(\mathrm {C}^*\)-algebra \(C_0(L,A)\)
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• 2-Local Isometries on Spaces of Lipschitz Functions
• A survey on local and 2-local derivations on C*- and von Neuman algebras
• Local automorphisms and derivations on $\mathcal {B}(H)$
• 2-LOCAL ISOMETRIES OF SOME OPERATOR ALGEBRAS
• Weak-2-local derivations on Mn
• 2-Local isometries and 2-local automorphisms on uniform algebras

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