Surjective isometries between unitary sets of unital JB\(^\ast \)-algebras
DOI10.1016/j.laa.2022.02.003OpenAlexW4210580805MaRDI QIDQ2120918
Takeshi Miura, Daisuke Hirota, Yuta Enami, Antonio M. Peralta, María Cueto-Avellaneda
Publication date: 1 April 2022
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2022.02.003
isometryunitaryextension of isometriesJB\(^\ast \)-algebraJBW\(^\ast \)-algebraJordan \(^\ast \)-isomorphism
Geometry and structure of normed linear spaces (46B20) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Isomorphic theory (including renorming) of Banach spaces (46B03) Isometric theory of Banach spaces (46B04) Jordan structures on Banach spaces and algebras (17C65) Nonassociative topological algebras (46H70) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Functional analysis (46-XX) Linear and multilinear algebra; matrix theory (15-XX)
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Cites Work
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- Unitary groups as a complete invariant
- Geometric characterization of tripotents in real and complex JB\(^{*}\)-triples
- On the groups isomorphism of unitary groups in \(AW^*\)-algebras
- \(JB^{\ast}\)-algebras of topological stable rank 1
- Von Neumann regularity and quadratic conorms in JB\(^*\)-triples and C\(^*\)-algebras
- Orthogonality preservers in C\(^*\)-algebras, JB\(^*\)-algebras and JB\(^*\)-triples
- A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
- The Gelfand-Naimark theorem for \(JB^ *\)-triples
- Affine geometric proofs of the Banach Stone theorems of Kadison and Kaup
- Jordan \(C^*\)-algebras
- A holomorphic characterization of Jordan \(C^*\)-algebras
- On real forms of JB\(^*\)-triples
- Isometries of JB-algebras
- On the set of invertible elements in Banach Jordan algebras
- Isometries and maps compatible with inverted Jordan triple products on groups
- Surjective isometries between sets of invertible elements in unital Jordan-Banach algebras
- Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in \(C^\ast\)-algebras
- On the Mazur-Ulam property for the space of Hilbert-space-valued continuous functions
- A note on unitary operators in \(C^ *\)-algebras
- On the geometry of projections in certain operator algebras
- Isometries of the unitary group
- Surjective isometries between real JB*-triples
- Structure of the predual of a JBW*-triple.
- SQUARE ROOT CLOSED C*-ALGEBRAS
- Weak*-continuity of Jordan triple products and its applications.
- A Generalization of C* -Algebras
- Real Isometries between J B ∗ -Triples
- Strong regularity and generalized inverses in jordan systems
- On Isometries of Jordan Algebras
- A Vidav theorem for Banach Jordan algebras
- Non-Associative Normed Algebras
- Spectral characterization of the socle in Jordan–Banach algebras
- Compact tripotents in bi-dual JB*-triples
- On a characterization of the maximal ideal spaces of commutative 𝐶*-algebras in which every element is the square of another
- ON THE EXTENSION OF ISOMETRIES BETWEEN THE UNIT SPHERES OF A -TRIPLE AND A BANACH SPACE
- Mankiewicz’s theorem and the Mazur–Ulam property for $\mathbf {C}^*$-algebras
- APPROXIMATION AND CONVEX DECOMPOSITION BY EXTREMALS AND THE -FUNCTION IN JBW*-TRIPLES
- Isometries of the unitary groups in C*-algebras
- Non-Associative Normed Algebras
- OnC*-algebras with the approximaten-th root property
- On Grassmannians associated with JB\(^*\)-triples
- Theory of operator algebras I.
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