On the manifold of tripotents in \(JB^*\)-triples

DOI10.1016/j.jmaa.2004.09.009zbMath1068.46045OpenAlexW2080252264MaRDI QIDQ1772291

Isidro, José M., László L. Stachó

Publication date: 18 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.09.009

zbMATH Keywords

Grassmann manifolds\(JB^*\)-triplesRiemann manifoldsCartan factorsBanach-Lie algebras and groups

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Nonassociative selfadjoint operator algebras (46L70)

Related Items (2)

Jordan triples and Riemannian symmetric spaces ⋮ Banach manifolds of algebraic elements in the algebra \(\mathcal L(H)\) of bounded linear operators

Cites Work

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• Über die Klassifikation der symmetrischen hermiteschen Mannigfaltigkeiten unendlicher Dimension. II
• 3-graded root systems and grids in Jordan triple systems
• Linear algebraic groups in infinite dimensions
• Holomorphic functions on symmetric Banach manifolds of compact type are constant
• Manifold of primitive idempotents in a Jordan-Hilbert algebra
• Manifolds of tripotents in \(JB^*\)-triples
• Über Jordan-Algebren und kompakte Riemannsche symmetrische Räume vom Rang 1
• Structure of the predual of a JBW*-triple.
• A Generalization of C^* -Algebras
• On Grassmannians associated with JB\(^*\)-triples

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