Extreme points of intervals inC*-algebras
โ Scribed by George Maltese
- Book ID
- 112496894
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 173 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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