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Ideal Amenability of Banach Algebras and Some Hereditary Properties | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 4، دوره 21، شماره 4، اسفند 2010 اصل مقاله (204.48 K) | ||
| نویسنده | ||
| M. Eshaghi Gordji | ||
| چکیده | ||
| Let A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the first cohomology group of A with coefficients in I* is trivial. We investigate the closed ideals I for which H1 (A,I* )={0}, whenever A is weakly amenable or a biflat Banach algebra. Also we give some hereditary properties of ideal amenability. | ||
| کلیدواژه‌ها | ||
| Derivation؛ Ideally amenable؛ Weakly amenable؛ Biflat | ||
| عنوان مقاله [English] | ||
| Ideal Amenability of Banach Algebras and Some Hereditary Properties | ||
| نویسندگان [English] | ||
| M. Eshaghi Gordji | ||
| چکیده [English] | ||
| Let A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the first cohomology group of A with coefficients in I* is trivial. We investigate the closed ideals I for which H1 (A,I* )={0}, whenever A is weakly amenable or a biflat Banach algebra. Also we give some hereditary properties of ideal amenability. | ||
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