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Operator analogue of the Krein-Milman theorem in the generalized state spaces

โœ Scribed by Wei Wu


Publisher
SP Science China Press
Year
2001
Tongue
English
Weight
353 KB
Volume
44
Category
Article
ISSN
1674-7283

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In this note we study perturbations of a J-nonnegative operator A in a KREIN space which are such that the difference of the resolvents of A and of the perturbed operator B is of rank one. Here B is also supposed to be J-selfadjoint. With the pair A, B we associate a one-parameter family {Br),,eR of