Supercyclic and Hypercyclic Generalized Weighted Backward Shifts over a Non-Archimedean c 0 ( N ) Space

Farrukh Mukhamedov, Otabek Khakimov and Abdessatar Souissi
Additional contact information
Farrukh Mukhamedov: Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain P.O. Box 15551, United Arab Emirates
Otabek Khakimov: Department of Algebra and Analysis, Institute of Mathematics Named after V.I.Romanovski, 4, University Str., Tashkent 100125, Uzbekistan
Abdessatar Souissi: Department of Accounting, College of Business Management, Qassim University, Buraydah 52571, Saudi Arabia

Mathematics, 2021, vol. 9, issue 22, 1-14

Abstract: In the present paper, we propose to study generalized weighted backward shifts B B over non-Archimedean c 0 ( N ) spaces; here, B = ( b i j ) is an upper triangular matrix with sup i , j | b i j | < ∞ . We investigate the sypercyclic and hypercyclic properties of B B . Furthermore, certain properties of the operator I + B B are studied as well. To establish the hypercyclic property of I + B B we have essentially used the non-Archimedeanity of the norm which leads to the difference between the real case.

Keywords: non-Archimedean valuation; hypercylic operator; supercyclic operator; generalized backward shift operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/22/2986/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/22/2986/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:22:p:2986-:d:685370

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().