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Variation of the Jordan structure of G-self-adjoint operators and self-adjoint operator functions under small perturbations

โœ Scribed by V. R. Ol'shevskii


Publisher
Springer US
Year
1989
Tongue
English
Weight
187 KB
Volume
22
Category
Article
ISSN
0016-2663

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S the unit sphere of H. Assume that ฮป 0 is an isolated eigenvalue of T of odd multiplicity greater than 1. Given an arbitrary operator B:H โ†’ H of class C 1 , we prove that for any ฮต = 0 sufficiently small there exists x ฮต โˆˆ S and ฮป ฮต near ฮป 0 , such that Tx ฮต + ฮตB(x ฮต ) = ฮป ฮต x ฮต . This result was c