Faces in the unit ball of the dual of \({\mathcal L}({\mathbb{R}}^ n)\)

DOI10.1007/BF01455302zbMath0575.47032OpenAlexW2324465501MaRDI QIDQ1064533

Ryszard Grząślewicz

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182977

zbMATH Keywords

extremal subsetsdimension of the facesunit ball of the dual space of the space of linear operators

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Convex sets and cones of operators (47L07) Dual spaces of operator algebras (47L50)

Related Items

Subdifferentials, faces, and dual matrices ⋮ Geometry of multilinear forms ⋮ Extreme operator-valued continuous maps ⋮ The stability of the unit balls of symmetric and unitarily invariant norms ⋮ Extreme continuous function property ⋮ Faces of the unit ball of a unitarily invariant norm

Cites Work

• Extreme contractions on real Hilbert spaces
• Extreme points in duals of operator spaces
• Isometries of operator algebras