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Invariant extensions of positive operators and extreme points

โœ Scribed by Harald Luschgy

Publisher
Springer-Verlag
Year
1980
Tongue
French
Weight
353 KB
Volume
171
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES

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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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We itre concerned with existence of extensions of positive linear operators be-I t v w i i ordered vector spaces which take maximal possible values on a given set of \wit ors. We eatablish a criterion (Theorem) which partially generalizes a similar twiilt of [2] about positive additive set functions