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Extreme points of intervals inC*-algebras

โœ Scribed by George Maltese


Book ID
112496894
Publisher
Springer
Year
1985
Tongue
English
Weight
173 KB
Volume
45
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES


The Extreme Points of Order Intervals of
โœ W.L. Green; T.D. Morley ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 433 KB

Consider the order interval of operators \([0, A\}=\{X \mid 0 \leq X \leq A\}\). In finite dimensions (or if \(A\) is invertible) then the extreme points of \([0, A]\) are the shorted operators (generalized Schur complements) of \(A\). This is false in the general infinite dimensional case. We give

Extreme subsets of operator intervals
โœ ร‰. L. Pekarev ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› SP MAIK Nauka/Interperiodica ๐ŸŒ English โš– 265 KB
Linear Maps betweenC*-Algebras Whose Adj
โœ Louis E. Labuschagne; Vania Mascioni ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 464 KB

We give a structural characterization of linear operators from one C\*-algebra into another whose adjoints map extreme points of the dual ball onto extreme points. We show that up to a V-isomorphism, such a map admits of a decomposition into a degenerate and a non-degenerate part, the non-degenerate