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.
- Generalized backward shift operator
- Hypercylic operator
- Non-Archimedean valuation
- Supercyclic operator
ASJC Scopus subject areas
- Computer Science (miscellaneous)
- Engineering (miscellaneous)