Extension of isometries from the unit sphere of a rank-2 Cartan factor
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Publication:2221305
DOI10.1007/s13324-020-00448-2zbMath1484.17047arXiv1907.00575OpenAlexW2955050237MaRDI QIDQ2221305
Antonio M. Peralta, Ondřej F. K. Kalenda
Publication date: 26 January 2021
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.00575
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) Jordan structures on Banach spaces and algebras (17C65)
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Cites Work
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- Tingley's problem on finite von Neumann algebras
- On a generalized Mazur-Ulam question: Extension of isometries between unit spheres of Banach spaces
- Extending surjective isometries defined on the unit sphere of \(\ell_\infty(\Gamma)\)
- On the facial structure of the unit ball in the dual space of a JB\(^*\)-triple
- Tingley's problem through the facial structure of operator algebras
- Extension of isometries between the unit spheres of normed space \(E\) and \(C(\Omega)\)
- Orthogonality preservers in C\(^*\)-algebras, JB\(^*\)-algebras and JB\(^*\)-triples
- On isometric extension problem between two unit spheres
- A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
- Jordan triple systems by the grid approach
- Über die Klassifikation der symmetrischen hermiteschen Mannigfaltigkeiten unendlicher Dimension. I
- Compact operations, multipliers and Radon-Nikodym property in \(JB^*\)- triples
- Jordan algebras and symmetric Siegel domains in Banach spaces
- Jordan \(C^*\)-algebras
- A holomorphic characterization of Jordan \(C^*\)-algebras
- On real Cartan factors
- The Mazur-Ulam property for two-dimensional somewhere-flat spaces
- On the extension of isometries between the unit spheres of von Neumann algebras
- A solution to Tingley's problem for isometries between the unit spheres of compact \(\mathrm C^*\)-algebras and \(\mathrm {JB}^*\)-triples
- Low rank compact operators and Tingley's problem
- Isometries of the unit sphere
- Bell's correlations and spin systems
- Tingley's problem through the facial structure of an atomic \(JBW^*\)-triple
- On the Mazur-Ulam property for the space of Hilbert-space-valued continuous functions
- Tingley's problem for spaces of trace class operators
- A reflection on Tingley's problem and some applications
- Tingley's problem for \(p\)-Schatten von Neumann classes
- Surjective isometries between real JB*-triples
- A survey on Tingley’s problem for operator algebras
- Structure of the predual of a JBW*-triple.
- A SAITÔ–TOMITA–LUSIN THEOREM FOR JB*-TRIPLES AND APPLICATIONS
- Complementation of Jordan Triples in Von Neumann Algebras
- On the facial structure of the unit ball in a JB*-triple
- On the Facial Structure of the Unit Balls in a JBW∗ -Triple and its Predual
- Weak*-continuity of Jordan triple products and its applications.
- Classification of JBW*-triple factors and applications.
- The Mazur–Ulam property for the space of complex null sequences
- Mankiewicz’s theorem and the Mazur–Ulam property for $\mathbf {C}^*$-algebras
- The Mazur–Ulam property for commutative von Neumann algebras
- On the Extension Problems of Isometric and Nonexpansive Mappings
