Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/13218
Title: Application of symmetric analytic functions to spectra of linear operators
Authors: Буртняк, Іван Володимирович
Keywords: symmetric analytic function on a Banach space, p-nuclear operator, Fredholm determinant.
Issue Date: 2021
Abstract: The paper is devoted to extension of the theory of symmetric analytic functions on Banach sequence spaces to the spaces of nuclear and p-nuclear operators on the Hilbert space. We introduced algebras of symmetric polynomials and analytic functions on spaces of p-nuclear operators, described algebraic bases of such algebras and found some connectionwith the Fredholmdeterminant of a nuclear operator. In addition, we considered cases of compact and bounded normal operators on the Hilbert space and discussed structures of symmetric polynomials on corresponding spaces
URI: http://hdl.handle.net/123456789/13218
Appears in Collections:Навчальні матеріали (ЕФ)

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