Weak amenability of (2N)-th dual of a Banach algebra
الموضوعات :
M. Ettefagh
1
,
S. Houdfar
2
1 - Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
2 - Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
تاريخ الإرسال : 07 الأحد , صفر, 1433
تاريخ التأكيد : 07 الأحد , صفر, 1433
تاريخ الإصدار : 11 الجمعة , رجب, 1433
الکلمات المفتاحية:
derivation,
Banach algebra,
Arens porducts,
Arens regularity,
weak amenability,
ملخص المقالة :
In this paper by using some conditions, we show that the weak amenability of(2n)-th dual of a Banach algebra A for some $n\geq 1$ implies the weak amenability of A.
المصادر:
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[4] H.G. Dales, F. Ghahramani, and N. Gronbaek, Derivations into iterated duals of Banach algebras, Studia Math, 128 (1998), no.1, 19-54.
[5] H.G. Dales, Banach algebra and Automatic continuity, Oxford university Press, (2000).
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[7] B.E. Johnson, Cohomology in Banach algebras, Mem. Amer. Math. Soc, 127 (1972).
[8] A. Medghalchi and T.Yazdanpanah, Problems concerning n-weak amenability of a Banach algebra, Czecholovak Math. J, 55(130) (2005) 863-876.
