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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

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📜 SIMILAR VOLUMES


The Extreme Points of Order Intervals of
✍ W.L. Green; T.D. Morley 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 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