Sphere bundle over the set of inner products in a Hilbert space

DOI10.1016/j.difgeo.2023.102092OpenAlexW4389735256MaRDI QIDQ6192117

Maria Eugenia Di Iorio y Lucero, Esteban Andruchow

Publication date: 11 March 2024

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2023.102092

zbMATH Keywords

unit spherepositive invertible operatorshomogeneous reductive spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Positive linear operators and order-bounded operators (47B65) Differentiability questions for infinite-dimensional manifolds (58B10) Topology of infinite-dimensional manifolds (57N20)

Cites Work

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• The relationship between a commutative Banach algebra and its maximal ideal space
• Perturbation theory for linear operators.
• The geometry of the space of selfadjoint invertible elements in a \(C^*\)-algebra
• The homotopy type of the unitary group of Hilbert space
• Homotopy theory of infinite dimensional manifolds

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