Variational and convexity properties of families of involutions

DOI10.1007/BF01203097zbMath0831.46062OpenAlexW1992650630MaRDI QIDQ1891858

Horacio Porta, Lázaro Recht

Publication date: 18 February 1996

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

Full work available at URL: https://doi.org/10.1007/bf01203097

zbMATH Keywords

constellationgeodesicsconditional expectationorbitanalytic manifoldFinsler metricfibrationgeodesic distance function\(C^*\)-algebra structuresStar

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) General theory of (C^*)-algebras (46L05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Cites Work

• The geometry of spaces of projections in \(C^*\)-algebras
• Convexity of the geodesic distance on spaces of positive operators
• Conditional expectations and operator decompositions
• The geometry of the space of selfadjoint invertible elements in a \(C^*\)-algebra
• Minimality of Geodesics in Grassmann Manifolds
• A Geometric Interpretation of Segal's Inequality || e X + Y || ≤ || e X/2 e Y e X/2 ||
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