ORDER THEORETIC TYPE DECOMPOSITION OF JBW *-TRIPLES

DOI10.1093/qmath/42.1.129zbMath0736.46052OpenAlexW2037683121MaRDI QIDQ3974251

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Publication date: 25 June 1992

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://boris.unibe.ch/116144/1/42-1-129.pdf

zbMATH Keywords

order propertytripotentsdirect sum of two orthogonal \(w^*\)-closed idealstype decomposition of \(\hbox{JBW}^*\)-triples

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Related Items (14)

Lattice of tripotents in a \(\text{JBW}^*\)-triple ⋮ Preservers of triple transition pseudo-probabilities in connection with orthogonality preservers and surjective isometries ⋮ Finite tripotents and finite \(\text{JBW}^\ast\)-triples ⋮ Estimations of the numerical index of a JB*-triple ⋮ The Daugavet equation for polynomials on \(\mathrm{C}^\ast\)-algebras and \(\mathrm{JB}^\ast\)-triples ⋮ Compact tripotents in bi-dual JB*-triples ⋮ The Banach-Lie algebra of multiplication operators on a \(JBW^{*}\)-triple ⋮ Star order and partial isometries in \(C^\ast\)-algebras ⋮ Dye's theorem for tripotents in von Neumann algebras and JBW\(^*\)-triples ⋮ Local facial structure and norm-exposed faces of the unit ball in a \(\mathrm{JB}^\ast\)-triple ⋮ ON WEAK*-CLOSED INNER IDEALS IN JBW*-TRIPLES ⋮ Representation of symmetry transformations on the sets of tripotents of spin and Cartan factors ⋮ Unnamed Item ⋮ The central hull and central kernel in JBW\(^*\)-triples

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