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On $J$-class $C_0$-semigroups of operators | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 30، دوره 12، شماره 1، مرداد 2021، صفحه 397-403 اصل مقاله (419.06 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4812 | ||
| نویسندگان | ||
| Mohammad Janfada* 1؛ Abolfazl Nezhadali Baghan2 | ||
| 1Department of Pure Mathematics, Ferdowsi University of Mashhad, International Campus, Mashhad, Iran | ||
| 2Department of Pure Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran | ||
| تاریخ دریافت: 05 شهریور 1396، تاریخ بازنگری: 23 مهر 1396، تاریخ پذیرش: 07 آبان 1396 | ||
| چکیده | ||
| In this paper, locally topologically transitive (or J-class) $C_0$-semigroups of operators on Banach spaces are studied. Some similarity and differences of locally transitivity and hypercyclicity of $C_0$-semigroups are investigated. Next the Kato's limit of a sequence of $C_0$-semigroups are considered and their locally transitivity relations are studied. | ||
| کلیدواژه‌ها | ||
| Hypercyclic $C_0$-semigroup؛ J-class $C_0$-semigroup؛ approximation in the sense of Kato | ||
| مراجع | ||
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