On Linear Dynamics of the Backward Shift Operators
Year: 2024
Type: article
Abstract: Linear dynamics is a rapidly evolving branch of functional analysis, which was probably born in 1982 with the Toronto PhD thesis of C. Kitai [3]. It has become rather popular, thanks to the efforts of many mathematicians (see [1], [2]). In particular, hypercyclicity and supercyclicity of weighted bilateral shifts were characterized by Salas [4], [5]. In [6] it has been proved that there exists a bounded linear operator satisfying Kitai Criterion on each separable infinite-dimensional Banach space. We are going to study dynamics of linear operators defined on topological vector space over non-Archimedean valued fields.
Author: Xasanova Kumush Erkin qizi, Khakimov Otabek Norbuta ugli
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949510169
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