𝔖 Bobbio Scriptorium
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Extreme subsets of operator intervals

✍ Scribed by É. L. Pekarev

Book ID
105087642
Publisher
SP MAIK Nauka/Interperiodica
Year
1991
Tongue
English
Weight
265 KB
Volume
50
Category
Article
ISSN
0001-4346

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📜 SIMILAR VOLUMES

The Extreme Points of Order Intervals of
The Extreme Points of Order Intervals of Positive Operators
✍ 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