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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2013, Volume 15, Number 3, Pages 126–132 (Mi svmo407)

In Middle Volga Mathematical Society

On the perturbations in the E.Schmid's spectrum of the linear operators in Hilbert spaces.

D. G. Rakhimov

Ulyanovsk State Technical University

Abstract: In perturbation theory of discrete spectrum of Fredholm operators in the articles [5,6] it is suggested the regularization, allowing to reduce the multiple eigenvalues cases to simple ones. In this article the regularized perturbation methods among them in pseudoperturbation aspect on M.K.Gavurin [8] are applied to E.Schmidt spectral problems.

Keywords: bifurcation theory methods, E.Schmidt spectrum, perturbation theory, branching equation,generalized Jordan chains, regularization.

UDC: 517.948.67



© Steklov Math. Inst. of RAS, 2024