On the geometry of the set of square roots of elements in \(C^*\)- algebras

DOI10.1007/BF01203667zbMath0826.46047OpenAlexW2012870544MaRDI QIDQ1333086

Alejandra L. Maestripieri

Publication date: 27 November 1995

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01203667

zbMATH Keywords

idempotentsdifferential geometryrelatively regular operatorsinfinite-dimensional manifoldsBanach and \(C^*\)-algebrasgeometry of unitary orbits in \(C^*\)-algebraspartitions of the identity in a Banach algebraprojective representations of a compact groupselfadjoint invertible elements in a \(C^*\)-algebraset of selfadjoint invertible elements in a \(C^*\)-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (2)

Geometric operator inequalities ⋮ The Stiefel bundle of a Banach algebra

Cites Work

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• Differential geometry of spaces of relatively regular operators
• Differential geometry of systems of projections in Banach algebras
• On the topology of classical groups and homogeneous spaces associated with a \(W^ *\)-algebra factor
• Relative Inversion in der Störungstheorie von Operatoren und \(\Psi\)- Algebren. (Relative inversions in perturbation theory of operators and \(\Psi\)-algebras)
• Splitting of the positive set of a \(C^*\)-algebra
• The relationship between a commutative Banach algebra and its maximal ideal space
• The geometry of spaces of projections in \(C^*\)-algebras
• The space of spectral measures is a homogeneous reductive space
• The geometry of the space of selfadjoint invertible elements in a \(C^*\)-algebra
• GEODESICS AND OPERATOR MEANS IN THE SPACE OF POSITIVE OPERATORS
• Minimality of Geodesics in Grassmann Manifolds

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