Linear maps between \(C^*\)-algebras whose adjoints preserve extreme points of the dual ball

DOI10.1006/AIMA.1998.1738zbMath0944.46054arXivmath/9604213OpenAlexW2007655696MaRDI QIDQ1272798

Vania Mascioni, Louis E. Labuschagne

Publication date: 7 February 2000

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9604213

zbMATH Keywords

irreducible representationdecompositionembeddingisometryC*-algebradisc algebraJordan structurepure statedouble commutantJordan *-homomorphismanti-*homomorphismsdegenerate partextremal point of the unit ball of the dual spaceextremal points of uniform algebrasfinite-rank Hilbert-Schmidt operatorsnon-degenerate partpositive linear mappings

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (9)

Linear maps between \(C^*\)-algebras preserving extreme points and strongly linear preservers ⋮ Unnamed Item ⋮ Nice surjections on spaces of operators ⋮ Nice operators into \(L_1\)-preduals ⋮ Nice operators into \(G\)-spaces ⋮ LINEAR MAPPINGS THAT PRESERVE THE DERIVATIONAL STRUCTURE OF C*-ALGEBRAS ⋮ Facial topology and extreme operators ⋮ Pure state transformations induced by linear operators ⋮ Differentiable functions and nice operators

Cites Work

• Positive linear maps of operator algebras
• On the Jordan Structure of C ∗ -Algebras
• On Partially Ordered Vector Spaces and Their Duals, with Applications to Simplexes and C*-Algebras
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