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DC Field | Value | Language |
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dc.contributor.author | Буртняк, Іван Володимирович | - |
dc.date.accessioned | 2022-11-08T09:47:03Z | - |
dc.date.available | 2022-11-08T09:47:03Z | - |
dc.date.issued | 2021 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/13218 | - |
dc.description.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 | uk_UA |
dc.language.iso | en | uk_UA |
dc.subject | symmetric analytic function on a Banach space, p-nuclear operator, Fredholm determinant. | uk_UA |
dc.title | Application of symmetric analytic functions to spectra of linear operators | uk_UA |
dc.type | Article | uk_UA |
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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