Compatible subtriples of Jordan \(^*\)-triples

DOI10.1006/JABR.1998.7795zbMath0973.17039OpenAlexW2139806963MaRDI QIDQ1305057

Gottfried T. Rüttimann, Daniel Lörch, C. Martin Edwards

Publication date: 28 November 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7795

zbMATH Keywords

Jordan algebrasJordan systemsJBW\(^*\)-triplesJordan \(*\)-triples

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Nonassociative selfadjoint operator algebras (46L70)

Related Items (8)

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 and Peirce Gradings in JBW*-Triples ⋮ Orthogonal pairs of weak*-closed inner ideals in a JBW*-triple ⋮ INVOLUTIVE GRADINGS AND KERNELS IN JBW*-TRIPLES ⋮ Measures on the lattice of closed inner ideals in a spin triple ⋮ The central hull and central kernel in JBW\(^*\)-triples

Cites Work

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• Peirce ideals in Jordan triple systems
• Jordan pairs
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• The range of a structural projection
• Inner ideals in \(W^*\)-algebras
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• The centroid of a JB*-triple system.
• Characterization of the predual and ideal structure of a JBW*-triple.
• Compact tripotents in bi-dual JB*-triples
• Structural Projections on JBW*-Triples
• Two Subspaces

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