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On a class of multiparameter perturbations of positive definite operators with fixed bounds on their spectrum

✍ Scribed by S.M. Malamud


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
834 KB
Volume
274
Category
Article
ISSN
0024-3795

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✦ Synopsis


A problem of m-parameter perturbation of a family of positive definite operators with fvted bounds on their spectrum is considered. A criterion for m Q 2 and a sufficient condition for m > 2 are obtained for the operators of the perturbed family to be positive definite.