Supercyclic and Hypercyclic Generalized Weighted Backward Shifts over a Non-Archimedean c0(N) Space
Farrukh MukhamedovDepartment of Algebra and Analysis, Institute of Mathematics Named after V.I.Romanovski, 4, University Str., Tashkent 100125, UzbekistanOtabek KhakimovAKFA University, 1st Deadlock 10, Kukcha Darvoza, Tashkent 100095, UzbekistanAbdessatar SouissiDepartment of Accounting, College of Business Management, Qassim University, Buraydah 52571, Saudi Arabia
ABI
Аннотация
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.
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