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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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5563-PDF файл-14360-1-10-20211213.pdf | 134.53 kB | Adobe PDF | View/Open |
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