✦ LIBER ✦

EXTREME POSITIVE OPERATORS

✍ Scribed by ELLIS, A. J.

Book ID: 118221270
Publisher: Oxford University Press
Year: 1964
Tongue: English
Weight: 125 KB
Volume: 15
Category: Article
ISSN: 0033-5606
DOI: 10.1093/qmath/15.1.342

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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

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