Metric geodesics of isometries in a Hilbert space and the extension problem

DOI10.1090/S0002-9939-07-08753-9zbMath1130.58005MaRDI QIDQ3438117

Esteban Andruchow, Alejandro Varela, Lázaro Recht

Publication date: 15 May 2007

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

zbMATH Keywords

geodesicsisometries

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (4)

Operators which preserve a positive definite inner product ⋮ The set of partial isometries as a quotient Finsler space ⋮ Metric geometry in infinite dimensional Stiefel manifolds ⋮ Canonical sphere bundles of the Grassmann manifold

Cites Work

• Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. II: Geodesics joining fixed endpoints
• Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. I: Minimal curves
• Partial isometries
• On the geometry of generalized inverses
• Minimality of Geodesics in Grassmann Manifolds
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
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