On the Mazur-Ulam property for the space of Hilbert-space-valued continuous functions
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Publication:2320112
DOI10.1016/j.jmaa.2019.06.056zbMath1440.46007arXiv1903.11917OpenAlexW2963825150WikidataQ127623125 ScholiaQ127623125MaRDI QIDQ2320112
María Cueto-Avellaneda, Antonio M. Peralta
Publication date: 21 August 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.11917
Tingley's problemMazur-Ulam propertyextension of isometriesspace of Hilbert space valued continuous functions \(C(K, H)\)
Spaces of vector- and operator-valued functions (46E40) Isometric theory of Banach spaces (46B04) Nonassociative selfadjoint operator algebras (46L70)
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Cites Work
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- On a generalized Mazur-Ulam question: Extension of isometries between unit spheres of Banach spaces
- 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 \(C(\Omega)\)
- Average of two extreme points in \(JBW^*\)-triples
- On isometric extension problem between two unit spheres
- A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
- A geometric function determined by extreme points of the unit ball of a normed space
- Jordan algebras and symmetric Siegel domains in Banach spaces
- A holomorphic characterization of Jordan \(C^*\)-algebras
- 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
- Isometries of the unit sphere
- On real forms of JB\(^*\)-triples
- Tingley's problem through the facial structure of an atomic \(JBW^*\)-triple
- Tingley's problem for spaces of trace class operators
- Property \((T)\) and rigidity for actions on Banach spaces
- On extension of isometries between unit spheres of \(\mathcal L^{\infty}(\Gamma)\)-type space and a Banach space \(E\)
- Extreme points in function algebras
- Extreme points and dimension theory
- A note on unitary operators in \(C^ *\)-algebras
- A reflection on Tingley's problem and some applications
- Tingley's problem for \(p\)-Schatten von Neumann classes
- Atomic decomposition of real JBW-triples
- Surjective isometries between real JB*-triples
- A survey on Tingley’s problem for operator algebras
- Structure of the predual of a JBW*-triple.
- Surjective Isometries of Real C -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.
- Characterization of the predual and ideal structure of a JBW*-triple.
- The Bidual of C(X, E)
- Facial Structure in Operator Algebra Theory
- Real Isometries between J B ∗ -Triples
- HOLOMORPHIC AUTOMORPHISMS OF THE UNIT BALLS OF HILBERT C $^*$ -MODULES
- Extreme Points in Spaces of Continuous Functions
- The Convex Hull of Extremal Vector-Valued Continuous Functions
- Compact tripotents in bi-dual JB*-triples
- The Mazur–Ulam property for commutative von Neumann algebras
- On the Extension Problems of Isometric and Nonexpansive Mappings
- A characterization of multiplicative linear functionals in complex Banach algebras
- A Topological Approach to Extreme Points in Function Spaces
- Modules Over Operator Algebras
