Inner ideals, compact tripotents and Chebyshev subtriples of \(\mathrm{JB}^*\)-triples and \(\mathrm C^*\)-algebras
DOI10.1007/s13398-016-0280-8zbMath1356.41013arXiv1507.07186OpenAlexW2298859401WikidataQ59602970 ScholiaQ59602970MaRDI QIDQ506262
Fatmah B. Jamjoom, Antonio M. Peralta, Haifa M. Tahlawi, Akhlaq Ahmad Siddiqui
Publication date: 31 January 2017
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.07186
von Neumann algebraBrown-Pedersen quasi-invertibilityChebyshev subspaceChebyshev subtriplespin factor\(\mathrm C^\ast\)-algebra\(\mathrm{JB}^\ast\)-triples
Best approximation, Chebyshev systems (41A50) General theory of (C^*)-algebras (46L05) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chebyshev subspaces of JBW\(^{\ast}\)-triples
- Von Neumann regularity and quadratic conorms in JB\(^*\)-triples and C\(^*\)-algebras
- Orthogonality preservers in C\(^*\)-algebras, JB\(^*\)-algebras and JB\(^*\)-triples
- Non-commutative generalisations of Urysohn's lemma and hereditary inner ideals
- A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
- The Gelfand-Naimark theorem for \(JB^ *\)-triples
- Compact operations, multipliers and Radon-Nikodym property in \(JB^*\)- triples
- Jordan algebras and symmetric Siegel domains in Banach spaces
- A holomorphic characterization of Jordan \(C^*\)-algebras
- Sur les domaines bornes homogenes de l'espace de \(n\) variables. complexes
- Relatively weakly open sets in closed balls of Banach spaces, and real \(JB^*\)-triples of finite rank
- On the geometry of the unit ball of a \(J B^{*}\)-triple
- Norm Preserving Extensions in JBW-Triple Preduals
- Automatic continuity of biorthogonality preservers between weakly compact JB*-triples and atomic JBW*-triples
- Weak compactness in the dual space of a JB*-triple is commutatively determined
- Structure of the predual of a JBW*-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.
- Cebysev subspaces of $C^*$-algebras.
- A Generalization of C* -Algebras
- Strong regularity and generalized inverses in jordan systems
- Best approximation in von Neumann algebras
- Chebyshev Subspaces of Operator Algebras
- Structure spaces and decomposition in JB*-triples
- Compact tripotents in bi-dual JB*-triples
- APPROXIMATION AND CONVEX DECOMPOSITION BY EXTREMALS AND THE -FUNCTION IN JBW*-TRIPLES
- CLOSED TRIPOTENTS AND WEAK COMPACTNESS IN THE DUAL SPACE OF A JB*-TRIPLE
- On Grassmannians associated with JB\(^*\)-triples
This page was built for publication: Inner ideals, compact tripotents and Chebyshev subtriples of \(\mathrm{JB}^*\)-triples and \(\mathrm C^*\)-algebras
