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Characterization of multipliers on ${\star}$-algebras acting on orthogonal elements | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 5، دوره 15، شماره 5، مرداد 2024، صفحه 49-56 اصل مقاله (366.37 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29973.4303 | ||
| نویسندگان | ||
| Abbas Zivari-Kazempour* ؛ Ahmad Minapoor | ||
| Department of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran | ||
| تاریخ دریافت: 29 بهمن 1401، تاریخ پذیرش: 16 خرداد 1402 | ||
| چکیده | ||
| Let $A$ be a Banach ${\star}$-algebra, $X$ be a Banach ${\star}$-$A$-bimodule and $T: A\longrightarrow X$ be a continuous linear map. In this paper, by using orthogonality conditions on $A$, we characterize the map $T$ on certain Banach algebra including $C^{\star}$-algebras, group algebras, standard operator algebras and Banach algebras that is generated by idempotents. We also characterize a continuous linear map from zero Jordan product determined Banach algebra $A$ into a Banach $A$-bimodule $X$, and give some applications of this result. | ||
| کلیدواژهها | ||
| ${\star}$-algebra؛ Multiplier؛ Orthogonality؛ Commuting map | ||
| مراجع | ||
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