Compact operators and the geometric structure of 𝐶*-algebras

DOI10.1090/S0002-9939-96-03285-6zbMath0857.46034MaRDI QIDQ4890282

Elias G. Katsoulis, Michalis Anoussis

Publication date: 11 August 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

representationfinite-rank operatorgeometric structure of \(C^*\)-algebras

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear operators defined by compactness properties (47B07) Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (5)

Extreme points in triangular UHF algebras ⋮ Extreme points of weakly closed $\mathcal {T(N)}$–modules ⋮ Extreme points of norm closed nest algebra modules ⋮ Compact operators in TRO’s ⋮ The geometric rank and isometries of radical-type ideals in nest algebras.

Cites Work

• \(M\)-ideals in Banach spaces and Banach algebras
• On certain elements of \(C^ *\)-algebras
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
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