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Extreme points of the intersection and the union of some operator balls

✍ Scribed by Yuri Lyubich

Publisher: SP Birkhäuser Verlag Basel
Year: 2002
Tongue: English
Weight: 449 KB
Volume: 44
Category: Article
ISSN: 0378-620X
DOI: 10.1007/bf01197859

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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