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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
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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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