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Operator inequalities and construction of Krein spaces

✍ Scribed by Takuya Hara


Publisher
SP Birkhäuser Verlag Basel
Year
1992
Tongue
English
Weight
584 KB
Volume
15
Category
Article
ISSN
0378-620X

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Some Questions in the Perturbation Theor
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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