Arens-irregularity of tensor product of Banach algebras
عنوان مقاله: Arens-irregularity of tensor product of Banach algebras
شناسه ملی مقاله: JR_IJNAA-5-1_001
منتشر شده در در سال 1393
شناسه ملی مقاله: JR_IJNAA-5-1_001
منتشر شده در در سال 1393
مشخصات نویسندگان مقاله:
- - - Department of Mathematics, Persian Gulf University, Boushehr, ۷۵۱۶۸, Iran
- - - Department of Mathematics, Persian Gulf University, Boushehr, ۷۵۱۶۸, Iran
خلاصه مقاله:
- - - Department of Mathematics, Persian Gulf University, Boushehr, ۷۵۱۶۸, Iran
- - - Department of Mathematics, Persian Gulf University, Boushehr, ۷۵۱۶۸, Iran
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.
کلمات کلیدی: Arens products, Arens regularity, compact operators, approximable operators, nuclear operators, tensor norm, approximate identity, approximation property
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1562017/