Department of Mathematics, University of Kurdistan, Pasdaran Str., P. O. Box 416, Sanandaj, Iran
Abstract
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 $\mathcal A$.
Ghaderi, E., & Naseri, S. (2019). Some notions of $(\sigma, \tau)-$amenability for unitization of Banach algebras. Computational Methods for Differential Equations, 7(Issue 4 (Special Issue)), 573-579.
MLA
Eghbal Ghaderi; Saber Naseri. "Some notions of $(\sigma, \tau)-$amenability for unitization of Banach algebras". Computational Methods for Differential Equations, 7, Issue 4 (Special Issue), 2019, 573-579.
HARVARD
Ghaderi, E., Naseri, S. (2019). 'Some notions of $(\sigma, \tau)-$amenability for unitization of Banach algebras', Computational Methods for Differential Equations, 7(Issue 4 (Special Issue)), pp. 573-579.
VANCOUVER
Ghaderi, E., Naseri, S. Some notions of $(\sigma, \tau)-$amenability for unitization of Banach algebras. Computational Methods for Differential Equations, 2019; 7(Issue 4 (Special Issue)): 573-579.