Supercyclic and hypercyclic generalized weighted backward shifts over a non-archimedean c0(N) space

Farrukh Mukhamedov, Otabek Khakimov, Abdessatar Souissi

Research output: Contribution to journalArticlepeer-review

Abstract

In the present paper, we propose to study generalized weighted backward shifts BB over non-Archimedean c0 (N) spaces; here, B = (bij) is an upper triangular matrix with supi,j |bij | < ∞. We investigate the sypercyclic and hypercyclic properties of BB. Furthermore, certain properties of the operator I + BB are studied as well. To establish the hypercyclic property of I + BB we have essentially used the non-Archimedeanity of the norm which leads to the difference between the real case.

Original languageEnglish
Article number2986
JournalMathematics
Volume9
Issue number22
DOIs
Publication statusPublished - Nov 1 2021

Keywords

  • Generalized backward shift operator
  • Hypercylic operator
  • Non-Archimedean valuation
  • Supercyclic operator

ASJC Scopus subject areas

  • Mathematics(all)

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