Extending surjective isometries defined on the unit sphere of \(\ell_\infty(\Gamma)\)

DOI10.1007/S13163-018-0269-2OpenAlexW2962823922MaRDI QIDQ668258

Antonio M. Peralta

Publication date: 19 March 2019

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09584

zbMATH Keywords

Tingley's problemMazur-Ulam property\(\ell_\infty(\Gamma)\)extension of isometries

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Isometric theory of Banach spaces (46B04) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (15)

A reflection on Tingley's problem and some applications ⋮ The Mazur–Ulam property for uniform algebras ⋮ Tingley's problem for \(p\)-Schatten von Neumann classes ⋮ The Mazur–Ulam property for abelian $C^*$-algebras ⋮ Can one identify two unital JB*-algebras by the metric spaces determined by their sets of unitaries? ⋮ Tingley's problem for complex Banach spaces which do not satisfy the Hausdorff distance condition ⋮ Unnamed Item ⋮ Extension of isometries from the unit sphere of a rank-2 Cartan factor ⋮ A Survey on Isometries Between Lipschitz Spaces ⋮ ON THE EXTENSION OF ISOMETRIES BETWEEN THE UNIT SPHERES OF A -TRIPLE AND A BANACH SPACE ⋮ Linearity of isometries between convex Jordan curves ⋮ The Mazur-Ulam property on Banach spaces of vector-valued continuous functions ⋮ Tingley's problems on uniform algebras ⋮ The Mazur–Ulam property for commutative von Neumann algebras ⋮ Extension of isometries in real Hilbert spaces

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