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Generalized module actions and topologies on Banach algebras | ||
| Journal of Mahani Mathematical Research | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 05 مرداد 1404 اصل مقاله (449.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2025.24469.1726 | ||
| نویسنده | ||
| Marjan Adib* | ||
| Department of Basic Sciences, Technical and Vocational University (TVU), Tehran, Iran | ||
| چکیده | ||
| This paper extends the notion of module actions on Banach algebras. It studies strict and quasi-strict topologies on the space of bilinear and separately continuous module actions defined over the dual space of a Banach algebra. The paper investigates how these topologies behave and their mathematical properties. | ||
| کلیدواژه‌ها | ||
| Factorable Banach algebra؛ Module action؛ Strict topology | ||
| مراجع | ||
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[1] Adib, M. (2017). Some topology on the space of quasi-multipliers. Bull. Iran. Math. Soc, 5, 1323-1332.
[2] Adib, M., & Khan, L.A. (2022). Strict topologies on topological algebras of quasimultipliers. Bull. Iran. Math. Soc, 48, 435-446.
[3] Adib, M., Riazi, A., & Bracic, J. (2011). Quasi-multipliers of the dual of a Banach algebra. Banach J. Math. Anal, 5, 6-14.
[4] Adib, M., Riazi, A., & Khan, L.A. (2011). Quasi-multipliers on F-algebras. Abstr. Appl. Anal, 235273, 1-30.
[5] Argun, Z., & Rowlands, K. (1994). On quasi-multipliers. Studia Math, 108(3), 217-245. https://doi.org/10.1109/VR.2006.148.
[6] Heuser, H.G. (1982). Functional Analysis. John Wiley & Sons, UK.
[7] Kassem, M.S., & Rowlands, K. (1981). The quasi-strict topology on the space of quasimultipliers of a Balgebra. Math. Proc. Cambridge Philos. Soc, 101, 555-566.
[8] Kothe, G. (1969). Topological Vector Spaces I. Springer, Berlin.
[9] McKennon, M. (1977). Quasi-multipliers. Trans. Amer. Math. Soc, 233, 105-123.
[10] Rie el, M.A. (1969). Induced Banach representations of Banach algebras and locally compact groups. J. Funct. Anal, 1, 443-491.
[11] Rie el, M.A. (1969). Multipliers and tensor products on Lp-spaces of locally compact groups. Studia Math, 33, 71-82. | ||
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آمار تعداد مشاهده مقاله: 8 تعداد دریافت فایل اصل مقاله: 10 |
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