Spherical isometries of finite dimensional \(C^{\ast}\)-algebras

DOI10.1016/j.jmaa.2016.07.073zbMath1371.46008OpenAlexW2492883443MaRDI QIDQ323808

Ryotaro Tanaka

Publication date: 10 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.073

zbMATH Keywords

unitary groupunit sphereisometriesJordan isomorphismsfaces

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) General theory of (C^*)-algebras (46L05) Isometric theory of Banach spaces (46B04)

Related Items (16)

Tingley's problem for spaces of trace class operators ⋮ On the extension of isometries between the unit spheres of von Neumann algebras ⋮ Characterizing projections among positive operators in the unit sphere ⋮ Tingley's problem for \(p\)-Schatten von Neumann classes ⋮ Tingley's problem for complex Banach spaces which do not satisfy the Hausdorff distance condition ⋮ Exploring new solutions to Tingley’s problem for function algebras ⋮ On the extension of isometries between the unit spheres of a C*-algebra and 𝐵(𝐻) ⋮ A Survey on Isometries Between Lipschitz Spaces ⋮ A solution to Tingley's problem for isometries between the unit spheres of compact \(\mathrm C^*\)-algebras and \(\mathrm {JB}^*\)-triples ⋮ The Mazur–Ulam property for the space of complex null sequences ⋮ Extending surjective isometries defined on the unit sphere of \(\ell_\infty(\Gamma)\) ⋮ Tingley's problem on finite von Neumann algebras ⋮ On the unit sphere of positive operators ⋮ Tingley's problem through the facial structure of an atomic \(JBW^*\)-triple ⋮ Low rank compact operators and Tingley's problem ⋮ Tingley's problems on uniform algebras

Cites Work

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