Continuity and hypercyclicity of composition operators on algebras of symmetric analytic functions on Banach spaces

DOI10.1007/s40879-019-00390-zzbMath1505.47027OpenAlexW2993837478WikidataQ126669815 ScholiaQ126669815MaRDI QIDQ1987703

Oleh Holubchak, Zoryana Novosad, Irina Chernega, Andriy V. Zagorodnyuk

Publication date: 15 April 2020

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-019-00390-z

zbMATH Keywords

composition operatorsfunctional spaceshypercyclic operatorssymmetric analytic functions

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Ideals, maximal ideals, boundaries (46J20) Linear composition operators (47B33) Rings and algebras of continuous, differentiable or analytic functions (46E25) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (4)

Isomorphisms of some algebras of analytic functions of bounded type on Banach spaces ⋮ On isomorphisms of algebras of entire symmetric functions on Banach spaces ⋮ Algebras generated by special symmetric polynomials on $\ell_1$ ⋮ Symmetric analytic functions on the Cartesian power of the complex Banach space of Lebesgue measurable essentially bounded functions on \([0,1\)]

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