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Some notions of $(\sigma, \tau)-$amenability for unitization of Banach algebras | ||
| Computational Methods for Differential Equations | ||
| مقاله 6، دوره 7، Issue 4 (Special Issue)، آبان 2019، صفحه 573-579 اصل مقاله (293.12 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Eghbal Ghaderi* ؛ Saber Naseri | ||
| Department of Mathematics, University of Kurdistan, Pasdaran Str., P. O. Box 416, Sanandaj, Iran | ||
| چکیده | ||
| Let $\mathcal A$ be a Banach algebra and $\sigma$ and $\tau$ be continuous endomorphisms on $\mathcal A$. In this paper, we investigate $(\sigma, \tau)-$amenability and $(\sigma, \tau)-$weak amenability for unitization of Banach algebras, and also the relation between of them. We introduce and study the concepts $(\sigma, \tau)-$trace extention property, $(\sigma, \tau)-I-$weak amenability and $(\sigma, \tau)-$ideal amenability for $\mathcal A$ and its unitization, where $I$ is a closed two-sided ideal in $\mathcal A$. | ||
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