Geometry of the left action of the \(p\)-Schatten groups

DOI10.15352/bjma/1358864549zbMath1279.47035OpenAlexW2102014535MaRDI QIDQ1943497

Maria Eugenia Di Iorio y Lucero

Publication date: 20 March 2013

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1358864549

zbMATH Keywords

Riemannian metricFinsler metricsmooth submanifoldSchatten operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Infinite-dimensional manifolds (46T05)

Cites Work

• Some considerations on topologies of infinite dimensional unitary coadjoint orbits
• The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits
• The relationship between a commutative Banach algebra and its maximal ideal space
• The geometry of spaces of projections in \(C^*\)-algebras
• Theory of operator algebras. III
• Unitary orbits in a full matrix algebra
• Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space
• The rectifiable distance in the unitary Fredholm group
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