TY - JOUR
T1 - Supercyclic and hypercyclic generalized weighted backward shifts over a non-archimedean c0(N) space
AU - Mukhamedov, Farrukh
AU - Khakimov, Otabek
AU - Souissi, Abdessatar
N1 - Funding Information:
Acknowledgments: The first named author (F.M.) thanks to the UAEU UPAR Grant No. G00003247 for support. The authors are grateful to all referees for their useful suggestions which allowed to improve the presentation of this paper.
Funding Information:
Funding: The present work is supported by the UAEU UPAR Grant No. 31S391).
Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2021/11/1
Y1 - 2021/11/1
N2 - 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.
AB - 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.
KW - Generalized backward shift operator
KW - Hypercylic operator
KW - Non-Archimedean valuation
KW - Supercyclic operator
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U2 - 10.3390/math9222986
DO - 10.3390/math9222986
M3 - Article
AN - SCOPUS:85119924082
SN - 2227-7390
VL - 9
JO - Mathematics
JF - Mathematics
IS - 22
M1 - 2986
ER -