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Continuity in fundamental locally multiplicative topological algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 11، دوره 12، شماره 1، مرداد 2021، صفحه 129-141 اصل مقاله (412.3 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.13751.1715 | ||
| نویسندگان | ||
| Ali Naziri-Kordkandi* ؛ Ali Zohri؛ Fariba Ershad؛ Bahman Yousefi | ||
| Department of Mathematics, Payame Noor University,Iran | ||
| تاریخ دریافت: 29 دی 1396، تاریخ بازنگری: 25 مرداد 1397، تاریخ پذیرش: 07 اردیبهشت 1398 | ||
| چکیده | ||
| Abstract. In this paper, we first derive specific results concerning the continuity and upper semi-continuity of the spectral radius and spectrum functions on fundamental locally multiplicative topological algebras. We continue our investigation by further determining the automatic continuity of linear mappings and homomorphisms in these algebras. | ||
| کلیدواژه‌ها | ||
| Keywords: FLM algebra؛ continuity؛ spectral radius؛ spectrum function؛ homomorphism | ||
| مراجع | ||
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