Extreme points in triangular UHF algebras

DOI10.1090/S0002-9947-97-01882-5zbMath0883.47035MaRDI QIDQ4372551

David R. Larson, Elias G. Katsoulis, Timothy D. Hudson

Publication date: 16 December 1997

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

zbMATH Keywords

semisimpleUHF algebrastrongly extreme pointKrein-Milman type theoremtriangular operator algebrafull nest algebras

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract operator algebras on Hilbert spaces (47L30) Nonselfadjoint (sub)algebras in algebras with involution (46K50)

Related Items (3)

Extreme points of weakly closed $\mathcal {T(N)}$–modules ⋮ Extreme points of norm closed nest algebra modules ⋮ Triangular matrix representations

Cites Work

• Isometries of non-self-adjoint operator algebras
• Isometries of nest algebras
• Semisimple triangular AF algebras
• Full nest algebras
• On isometries of operator algebras
• Strongly extreme points in Orlicz function spaces
• The lattice of ideals of a triangular AF algebra
• On strong extreme points in H\(^p\)
• Strongly extreme points in Banach spaces
• Classifications of Tensor Products of Triangular Operator Algebras
• A Note on the unit Ball in C ^* -Algebras
• Ideals in Triangular Af Algebras
• Compact operators and the geometric structure of 𝐶*-algebras
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