مشخصات پژوهش

صفحه نخست /Topologically transitive ...
عنوان Topologically transitive sequence of cosine operators on Orlicz spaces
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Hypercyclicity; Topologically transitive; Topologically mixing; Weighted translation operator; Orlicz space; Locally compact groups.
چکیده For a Young function $\phi$ and a locally compact second countable group $G,$ let $L^\phi(G)$ denote the Orlicz space on $G.$ In this paper, we present a necessary and sufficient condition for the topological transitivity of a sequence of cosine operators $\{C_n\}_{n=1}^{\infty}:=\{\frac{1}{2}(T^n_{g,w}+S^n_{g,w})\}_{n=1}^{\infty}$, defined on $L^{\phi}(G)$. We investigate the conditions for a sequence of cosine operators to be topologically mixing. Further, we go on to prove a similar result for the direct sum of a sequence of cosine operators. Finally, we give an example of topologically transitive sequence of cosine operators.
پژوهشگران ابراهیم اکبربگلو (نفر اول)، محمدرضا عظیمی (نفر دوم)، ویشوش کومار (نفر سوم)