Approximation and convex decomposition by extremals in a $C^*$-algebra.

DOI10.7146/math.scand.a-12866zbMath0898.46051OpenAlexW2530031026MaRDI QIDQ4384820

Lawrence G. Brown, Gert Kjaergård Pedersen

Publication date: 11 June 1998

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/167428

zbMATH Keywords

unital \(C^*\)-algebraspectral theoryfunctional calculusextreme points of the unit ballregular approximationquasi-invertible elements\(\lambda\)-functionunitary decomposition

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) General theory of (C^*)-algebras (46L05)

Related Items (9)

Complex extremal structure in spaces of continuous functions ⋮ Linear maps preserving regularity in \(C^*\)-algebras ⋮ The \(\lambda \)-function in the space of trace class operators ⋮ Non-stable \(K\)-theory and extremally rich \(C^\ast\)-algebras ⋮ On the geometry of the unit ball of a \(J B^{*}\)-triple ⋮ Approximation by extreme functions ⋮ Projective spaces of a \(C^*\)-algebra ⋮ An infinite analogue of rings with stable rank one ⋮ The \(\lambda\)-function in \(JB^\ast\)-triples

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