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A Few Remarks on Supercyclicity of Non-Archimedean Linear Operators on $$c_0(\mathbb N)$$

Farrukh MukhamedovDepartment of Mathematical Sciences, College of Science, United Arab Emirates University, 15551, Al-Ain, Abu Dhabi, United Arab EmiratesOtabek KhakimovAKFA University, 1st Deadlock 10, Kukcha Darvoza, 100095, Tashkent, UzbekistanAbdessatar SouissiDepartment of Accounting, College of Business Management, Qassim University, Buraydah, Saudi Arabia
ABI

Аннотация

In this paper, we study the hypercyclic, supercyclic and cyclic properties of operators of the form $$I+B_{\bf b}$$ , where $$B_{\bf b}$$ is a weighted backward shift defined on $$c_0(\mathbb N)$$ . The results are totally different from the real case.

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