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Maps on Banach *-algebras acting at the identity products | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 08 شهریور 1404 اصل مقاله (320.79 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.34300.5120 | ||
| نویسندگان | ||
| Abbas Zivari-Kazempour* ؛ Ahmad Minapoor | ||
| Department of Mathematics, Faculty of Basic Sciences, Ayatollah Boroujerdi University, Boroujerd, Iran | ||
| تاریخ دریافت: 11 خرداد 1403، تاریخ بازنگری: 02 بهمن 1403، تاریخ پذیرش: 11 بهمن 1403 | ||
| چکیده | ||
| Let $A$ be a unital Banach $*$-algebra with unit $1$, and $X$ be a Banach $*$-$A$-bimodule. In this paper, we determining continuous linear maps $\delta:A\longrightarrow X$ that satisfy one of the following conditions: \[\delta(x \diamond y)=\delta(x)\diamond y, \] \[\delta(x \diamond y \diamond x)=\delta(x)\diamond y \diamond x,\] for all $x,y\in A$ with $xy=1$, where $x \diamond y=x^*y-y^*x$. We also characterize continuous linear maps $\phi:A\longrightarrow B$ which behave like homomorphisms at the identity products. | ||
| کلیدواژهها | ||
| Commuting map؛ Multiplier؛ self-adjoint؛ Banach *-algebra | ||
| مراجع | ||
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