Geometry of $\mathfrak {I}$-Stiefel manifolds

DOI10.1090/S0002-9939-09-10080-1zbMath1206.22012OpenAlexW1945019979MaRDI QIDQ3402188

Eduardo Chiumiento

Publication date: 2 February 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10080-1

zbMATH Keywords

Finsler metricpartial isometryunitary orbitsBanach ideal

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Operator ideals (47L20)

Related Items (6)

The set of partial isometries as a quotient Finsler space ⋮ Stiefel and Grassmann manifolds in quantum chemistry ⋮ Global symmetric approximation of frames ⋮ Metric geometry in infinite dimensional Stiefel manifolds ⋮ On restricted diagonalization ⋮ Canonical sphere bundles of the Grassmann manifold

Cites Work

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• The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits
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• Differential geometry of partial isometries and partial unitaries
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• Metrics in the set of partial isometries with finite rank
• Partial isometries
• On the geometry of generalized inverses
• Compact perturbations of isometries
• On a class of KMS states for the unitary group \(U(\infty)\)

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