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Amenability properties of vector-valued function algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 30، دوره 14، شماره 3، خرداد 2023، صفحه 369-377 اصل مقاله (376.96 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25497.3034 | ||
| نویسندگان | ||
| Farkhonda Shaban؛ Mortaza Abtahi* ؛ Mohammad Ramezanpour | ||
| School of Mathematics and Computer Sciences, Damghan University, Damghan, P.O.BOX 36715-364, Iran | ||
| تاریخ دریافت: 15 آذر 1400، تاریخ بازنگری: 19 اسفند 1400، تاریخ پذیرش: 22 اسفند 1400 | ||
| چکیده | ||
| Let $X$ be a compact Hausdorff space, $A$ be a (commutative) Banach algebra and $\mathcal{A}$ be a Banach $A$-valued function algebra on $X$. Let $\mathfrak{A}$ be the function algebra on $X$, consisting of scalar-valued functions in $\mathcal{A}$. We study and characterize various amenability properties of the algebra $\mathcal{A}$ in terms of cohomological properties of $\mathfrak{A}$ and $A$. Containing some well-known examples, such as $C(X,A)$ and $Lip(X,A)$, the class of vector-valued function algebras also includes, in some sense, the tensor products $\mathfrak{A} \hat \otimes_\gamma A$. As consequences, some known results in this area are covered. | ||
| کلیدواژهها | ||
| Vector-valued function algebras؛ tensor products؛ character amenability؛ character contractibility | ||
| مراجع | ||
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