Arens-irregularity of tensor product of Banach algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 5، 1 (Special Issue)، 2014، صفحه 1-8 اصل مقاله (367.17 K) | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2014.110 | ||
| نویسندگان | ||
| T. Yazdanpanah* ؛ R. Gharibi | ||
| Department of Mathematics, Persian Gulf University, Boushehr, 75168, Iran | ||
| چکیده | ||
| We introduce Banach algebras arising from tensor norms. By these Banach algebras, we make Arens regular Banach algebras such that $\alpha$ the tensor product becomes irregular, where $\alpha$ is tensor norm. We illustrate injective tensor product, does not preserve bounded approximate identity and it is not algebra norm. | ||
| کلیدواژهها | ||
| Arens products؛ Arens regularity؛ compact operators؛ approximable operators؛ nuclear operators؛ tensor norm؛ approximate identity؛ approximation property | ||
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