Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/13218
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dc.contributor.authorБуртняк, Іван Володимирович-
dc.date.accessioned2022-11-08T09:47:03Z-
dc.date.available2022-11-08T09:47:03Z-
dc.date.issued2021-
dc.identifier.urihttp://hdl.handle.net/123456789/13218-
dc.description.abstractThe 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 spacesuk_UA
dc.language.isoenuk_UA
dc.subjectsymmetric analytic function on a Banach space, p-nuclear operator, Fredholm determinant.uk_UA
dc.titleApplication of symmetric analytic functions to spectra of linear operatorsuk_UA
dc.typeArticleuk_UA
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