Conditional expectations and operator decompositions

DOI10.1007/BF02108305zbMath0829.58004OpenAlexW2023081483MaRDI QIDQ1892345

Horacio Porta, Lázaro Recht

Publication date: 17 January 1996

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02108305

zbMATH Keywords

conditional expectationoperator decompositions

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (11)

Variational and convexity properties of families of involutions ⋮ A geometry on the space of probabilities. II: Projective spaces and exponential families ⋮ A geometry on the space of probabilities. I: The finite dimensional case ⋮ Positive projective space of a \(C^*\)-algebra with a tracial conditional expectation ⋮ Exponential sets and their geometric motions ⋮ Mostow's decomposition theorem for \(L^\ast\)-groups and applications to affine coadjoint orbits and stable manifolds ⋮ Nonpositive curvature: A geometrical approach to Hilbert-Schmidt operators ⋮ Holomorphic geometric models for representations of \(C^*\)-algebras ⋮ Decompositions and complexifications of some infinite-dimensional homogeneous spaces ⋮ The C^*-algebra of compact perturbations of diagonal operators ⋮ Metric geometry in homogeneous spaces of the unitary group of a \(C^*\)-algebra. I: Minimal curves

Cites Work

• Splitting of the positive set of a \(C^*\)-algebra
• Convexity of the geodesic distance on spaces of positive operators
• A Geometric Interpretation of Segal's Inequality || e X + Y || ≤ || e X/2 e Y e X/2 ||
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