A Few Remarks on Supercyclicity of Non-Archimedean Linear Operators on c0(N)

Farrukh Mukhamedov; Otabek Khakimov; Abdessatar Souissi

doi:10.1134/S2070046622010046

A Few Remarks on Supercyclicity of Non-Archimedean Linear Operators on c₀(N)

Farrukh Mukhamedov, Otabek Khakimov, Abdessatar Souissi

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract: In this paper, we study the hypercyclic, supercyclic and cyclic properties of operators of the form I + B_b, where B_b is a weighted backward shift defined on c₀(N). The results are totally different from the real case.

Original language	English
Pages (from-to)	64-76
Number of pages	13
Journal	P-Adic Numbers, Ultrametric Analysis, and Applications
Volume	14
Issue number	1
DOIs	https://doi.org/10.1134/S2070046622010046
Publication status	Published - Mar 2022

Keywords

backward shift operator
hypercylic operator
non-Archimedean valuation
supercyclic operator

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1134/S2070046622010046

Cite this

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title = "A Few Remarks on Supercyclicity of Non-Archimedean Linear Operators on c0(N)",

abstract = "Abstract: In this paper, we study the hypercyclic, supercyclic and cyclic properties of operators of the form I + Bb, where Bb is a weighted backward shift defined on c0(N). The results are totally different from the real case.",

keywords = "backward shift operator, hypercylic operator, non-Archimedean valuation, supercyclic operator",

author = "Farrukh Mukhamedov and Otabek Khakimov and Abdessatar Souissi",

note = "Funding Information: The present work is supported by the UAEU UPAR Grant No. G00003247 (Fund No. 31S391). Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

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