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On the existence of subspace-diskcyclic $C_{0}$-semigroups and some criteria | ||
Journal of Mahani Mathematical Research | ||
دوره 12، شماره 2 - شماره پیاپی 25، مرداد 2023، صفحه 585-593 اصل مقاله (457.03 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22103/jmmr.2023.20275.1340 | ||
نویسنده | ||
Mansooreh Moosapoor* | ||
Department of Mathematics, Farhangian University, Tehran, Iran. | ||
چکیده | ||
In this paper, we prove the existance of subspace-diskcyclic $C_{0}$-semigroups on any infinite-dimensional separable Banach space. We state that diskcyclic $C_{0}$-semigroups are subspace-diskcyclic. Also, we establish some criteria for subspace-diskcyclic $C_{0}$-semigroups. Most of these criteria are based on non-empty relatively open sets and some of them are based on dense sets. | ||
کلیدواژهها | ||
Subspace-diskcyclicity؛ Diskcyclicity؛ $C_{0}$-semigroups | ||
مراجع | ||
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