Normal Representations of Banach Jordan Triple Systems
From MaRDI portal
Publication:3810355
DOI10.2307/2047221zbMath0661.46045OpenAlexW4246587811MaRDI QIDQ3810355
No author found.
Publication date: 1988
Full work available at URL: https://doi.org/10.2307/2047221
\(JB^*\)-triplesKaplansky density theorem\(JBW^*\)-tripledirect sum of special and exceptional idealsfaithful normal representation into a concrete \(JBW^*\)-triple with weak*-closed rangerepresentation theory of Banach Jordan systems
Representations of topological algebras (46H15) Nonassociative topological algebras (46H70) Algebras of operators on Banach spaces and other topological linear spaces (47L10)
Related Items (28)
Pointwise-generalized-inverses of linear maps between C^*-algebras and JB^*-triples ⋮ Contractive projections and operator spaces ⋮ Central kernels of subspaces of JB\(^{*}\)-triples ⋮ Preservers of triple transition pseudo-probabilities in connection with orthogonality preservers and surjective isometries ⋮ On the strict topology of the multipliers of a \(\mathrm{JB}^\ast\)-algebra ⋮ A geometric characterization of structural projections on a JBW\(^{\ast}\)-triple. ⋮ Complementary inner ideals in JBW\(^*\)-triples ⋮ Faithful inner ideals in \(JBW^{\ast}\)-triples ⋮ Involutive gradings of JBW\(^{*}\)-triple factors ⋮ Compact tripotents in bi-dual JB*-triples ⋮ The Banach-Lie algebra of multiplication operators on a \(JBW^{*}\)-triple ⋮ Dunford-Pettis properties, Hilbert spaces and projective tensor products ⋮ On the facial structure of the unit ball in a JB*-triple ⋮ Weak continuity of holomorphic automorphisms in \(JB^*\)-triples ⋮ Complete orthogonality preservers between \(C^ \ast \)-algebras ⋮ Non-commutative generalisations of Urysohn's lemma and hereditary inner ideals ⋮ Orthogonal pairs of weak*-closed inner ideals in a JBW*-triple ⋮ 2-local triple homomorphisms on von Neumann algebras and JBW*-triples ⋮ Local facial structure and norm-exposed faces of the unit ball in a \(\mathrm{JB}^\ast\)-triple ⋮ The structure of triple homomorphisms onto prime algebras ⋮ Relatively weakly open sets in closed balls of Banach spaces, and the centralizer ⋮ Contractive linear preservers of absolutely compatible pairs between \(\mathrm{C}^*\)-algebras ⋮ Representation of symmetry transformations on the sets of tripotents of spin and Cartan factors ⋮ Unnamed Item ⋮ A Kaplansky theorem for JB*-triples ⋮ Measures on the lattice of closed inner ideals in a spin triple ⋮ The Kadec–Pełczyński–Rosenthal subsequence splitting lemma for JBW*-triple preduals ⋮ The central hull and central kernel in JBW\(^*\)-triples
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
- The Gelfand-Naimark theorem for \(JB^ *\)-triples
- Algebraic characterization of symmetric complex Banach manifolds
- Jordan algebras and symmetric Siegel domains in Banach spaces
- Espaces de Banach: Existence et unicité de certains préduaux
- Derivations of simple \(C^ *\)-algebras. III
- Complete holomorphic vector fields on the second dual of Banach space.
- Structure of the predual of a JBW*-triple.
- Weak*-continuity of Jordan triple products and its applications.
- Characterization of the predual and ideal structure of a JBW*-triple.
- Classification of Continuous JBW ∗ -Triples
- A Generalization of C* -Algebras
- Le groupe des automorphismes analytiques d'un domaine borné d'un espace de Banach complexe. Application aux domaines bornés symétriques
This page was built for publication: Normal Representations of Banach Jordan Triple Systems
