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 language | English |
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Article number | 2986 |
Journal | Mathematics |
Volume | 9 |
Issue number | 22 |
DOIs | |
Publication status | Published - Nov 1 2021 |
Keywords
- Generalized backward shift operator
- Hypercylic operator
- Non-Archimedean valuation
- Supercyclic operator
ASJC Scopus subject areas
- Computer Science (miscellaneous)
- Engineering (miscellaneous)
- General Mathematics