HYPERCYCLICITY OF AFFINE COMPOSITION OPERATORS ON ALGEBRAS OF SYMMETRIC ANALYTIC FUNCTIONS

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dc.contributor.authorZoriana Novosad
dc.date.accessioned2026-04-06T15:23:19Z
dc.date.issued2024-07
dc.descriptionMethods of Functional Analysis and Topology Vol. 30 (2024), no. 1-2,
dc.description.abstractAbstract. The paper is devoted to studying the dynamics of affine composition operators on the Fr´echet algebras of symmetric analytic functions on \ell p.We introduced a class of affine composition operators preserving the symmetry of functions and found necessary and sufficient conditions of hypercyclicity of such operators. Some applications for dynamics of composition operators on the space of entire functions of several complex variables, H(Cn) are proposed. In particular, we found some conditions of hypercyclicity for a class of polynomial composition operators on H(Cn).
dc.identifier.citationZoriana Novosad, Hypercyclicity of Affine Composition Operators on Algebras of Symmetric Analytic Functions, Methods Funct. Anal. Topology 30 (2024), no. 1, 72-79.
dc.identifier.issn1029-3531 (Print)
dc.identifier.issn2415-7503 (Online)
dc.identifier.otherhttps://doi.org/10.31392/MFAT-npu26_1-2.2024.07
dc.identifier.urihttps://mfat.imath.kiev.ua/article/?id=2008
dc.identifier.urihttps://dspace.lute.lviv.ua/handle/123456789/2377
dc.language.isoen
dc.publisherInstitute of Mathematics of the National Academy of Sciences of Ukraine.
dc.subjectHypercyclic operators
dc.subjectfunctional spaces
dc.subjecttopological automorphisms
dc.subjectsymmetric functions
dc.titleHYPERCYCLICITY OF AFFINE COMPOSITION OPERATORS ON ALGEBRAS OF SYMMETRIC ANALYTIC FUNCTIONS
dc.typeArticle

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