On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds

DOI10.2478/S11533-007-0028-YzbMath1163.46043OpenAlexW1979395643WikidataQ115227879 ScholiaQ115227879MaRDI QIDQ931577

Isidro, José M.

Publication date: 25 June 2008

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-007-0028-y

zbMATH Keywords

Banach-Lie algebrasCartan factorsclassical symmetric complex Banach manifoldscomplete holomorphic vector fieldsJB\(^*\)-triples

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Cites Work

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• BOUNDED DERIVATIONS OF JB^* - TRIPLES
• The centroid of a JB*-triple system.
• Closed Lie Ideals in Operator Algebras
• Imbedding of Jordan Algebras Into Lie Algebras. II
• Trace and norm for reduced elements of jordan pairs
• Lie and Jordan Ideals of Operators on Hilbert Space
• Imbedding of Jordan Algebras into Lie Algebras. I
• Lie algebras of bounded operators

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