Metrics in the sphere of a \(C^*\)-module

DOI10.2478/s11533-007-0025-1zbMath1149.46045OpenAlexW2023413411MaRDI QIDQ931573

Esteban Andruchow, Alejandro Varela

Publication date: 25 June 2008

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-007-0025-1

zbMATH Keywords

geodesicsspheres\(C^*\)-modules

Mathematics Subject Classification ID

(C^*)-modules (46L08) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Geodesics in global differential geometry (53C22)

Related Items (1)

Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces

Cites Work

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• \(C^*\)-modular vector states
• Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. II: Geodesics joining fixed endpoints
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• Projective spaces of a \(C^*\)-algebra
• Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. I: Minimal curves
• Partial isometries
• On the geometry of generalized inverses
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
• Geometry of the sphere of a Hilbert module
• Inner Product Modules Over B ∗ -Algebras

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