𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The extreme points of a set of positive semidefinite operators

✍ Scribed by William N. Anderson Jr.; George E. Trapp


Book ID
107825214
Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
597 KB
Volume
106
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The Extreme Points of Order Intervals of
✍ W.L. Green; T.D. Morley πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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