GEOMETRIC CHARACTERIZATION OF HERMITIAN ALGEBRAS WITH CONTINUOUS INVERSION

DOI10.1017/S000497270900063XzbMath1209.46028arXiv0903.1973MaRDI QIDQ5187724

Daniel Beltiţă, Karl-Hermann Neeb

Publication date: 1 March 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1973

zbMATH Keywords

flag manifoldspectrumprojectionunitary grouptransitivitycontinuous inverse algebraQ-algebraHermitian algebra

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Functional calculus in topological algebras (46H30) Differentiability questions for infinite-dimensional manifolds (58B10) General theory of topological algebras with involution (46K05)

Related Items (1)

Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian

Cites Work

• Unnamed Item
• Geometric representation theory for unitary groups of operator algebras
• Towards a Lie theory of locally convex groups
• Factorization problems for nests: Factorization methods and characterizations of the universal factorization property
• Symmetrie in Banachschen Algebren
• Nilpotente Liesche Gruppen haben symmetrische Gruppenalgebren
• Projective completions of Jordan pairs. I: The generalized projective geometry of a Lie algebra
• Projective completions of Jordan pairs. II: Manifold structures and symmetric spaces
• Topological Examples of Projective Modules
• On the Symmetry of Matrix Algebras
• Algebras whose groups of units are Lie groups
• Finite-dimensional Lie subalgebras of algebras with continuous inversion
• SYMMETRY OF WEIGHTED $L{\uppercase{\footnotesize{L^1}}}$-ALGEBRAS AND THE GRS-CONDITION
• The Stiefel bundle of a Banach algebra

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