مشخصات پژوهش

عنوان	CONVEX-CYCLIC WEIGHTED TRANSLATIONS ON LOCALLY COMPACT GROUPS
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	convex-cyclic, hypercyclic, convex-transitive, convolution, locally compact group.
چکیده	A bounded linear operator $T$ on a Banach space $X$ is called a convex-cyclic operator if there exists a vector $x \in X$ such that the convex hull of $Orb(T, x)$ is dense in $X$. In this paper, for given an aperiodic element $g$ in a locally compact group $G$, we give some sufficient conditions for a weighted translation operator $T_{g,w}: f \mapsto w\cdot f*\delta_g$ on $\mathfrak{L}^{p}(G)$ to be convex-cyclic. A necessary condition is also studied. At the end, to explain the obtained results, some examples are given.
پژوهشگران	محمدرضا عظیمی (نفر اول)، ابراهیم اکبربگلو (نفر دوم)، میثم اسدی پور (نفر سوم)