تعداد نشریات | 158 |
تعداد شمارهها | 6,230 |
تعداد مقالات | 67,757 |
تعداد مشاهده مقاله | 115,121,694 |
تعداد دریافت فایل اصل مقاله | 89,889,714 |
Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 6، دوره 25، شماره 1، خرداد 2014، صفحه 51-55 اصل مقاله (287.82 K) | ||
نوع مقاله: Original Paper | ||
نویسنده | ||
B. Mohammadzadeh | ||
Department of Mathematics, Faculty of Sciences, Babol University of Technology, Babol, Mazandaran, Islamic Republic of Iran | ||
چکیده | ||
Let S be a locally compact foundation semigroup with identity and be its semigroup algebra. Let X be a weak*-closed left translation invariant subspace of In this paper, we prove that X is invariantly complemented in if and only if the left ideal of has a bounded approximate identity. We also prove that a foundation semigroup with identity S is left amenable if and only if every complemented weak*-closed left translation invariant subspace of is invariantly complemented in . | ||
کلیدواژهها | ||
Complemented subspace؛ Foundation semigroup؛ Semigroup algebras | ||
آمار تعداد مشاهده مقاله: 1,650 تعداد دریافت فایل اصل مقاله: 1,310 |