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

Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/5095

Title:	Continuity and hypercyclicity of composition operators on algebras of symmetric analytic functions on Banach spaces
Authors:	Chernega, Iryna Holubchak, Oleh Novosad, Zoryana Zagorodnyuk, Andriy
Keywords:	Hypercyclic operators · Functional spaces · Composition operators · Symmetric analytic functions
Issue Date:	2-Dec-2019
Publisher:	Springer
Citation:	European Journal of Mathematics (2020) 6:153–163
Series/Report no.:	6;153-163
Abstract:	We consider some conditions for continuity and hypercyclicity of composition operators on algebras of symmetric analytic functions of bounded type on 1, L∞[0, 1), and L∞[0,∞)∩ L1[0,∞). We establish hypercyclicity of some special composition operators, namely of compositions with translations on algebras of symmetric analytic functions and some other algebras generated by countable sequences of homogeneous polynomials.
Description:	https://doi.org/10.1007/s40879-019-00390-z
URI:	http://hdl.handle.net/123456789/5095
ISSN:	2199-6768
Appears in Collections:	Статті та тези (ФМІ)

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