مشخصات پژوهش

عنوان	Weak Amenability of Second Dual of Real Banach Algebras-
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	Banach algebra‎, ‎Banach module‎, ‎Complexification‎, ‎Derivation‎, ‎$(-1)$-Weak amenability.d
چکیده	‎Let $ (A,\| \cdot \|) $ be a real Banach algebra‎, ‎a complex algebra $ A_\mathbb{C} $ be a complexification of $ A $ and $ \| | \cdot \| | $ be an algebra norm on $ A_\mathbb{C} $ satisfying a simple condition together with the norm $ \| \cdot \| $ on $ A$‎. ‎In this paper we first show that $ A^* $ is a real Banach $ A^{**}$-module if and only if $ (A_\mathbb{C})^* $ is a complex Banach $ (A_\mathbb{C})^{**}$-module‎. ‎Next we prove that $ A^{**} $ is $ (-1)$-weakly amenable if and only if $ (A_\mathbb{C})^{**} $ is $ (-1)$-weakly amenable‎. ‎Finally‎, ‎we give some examples of real Banach algebras which their second duals of some them are and of others are not $ (-1)$-weakly amenable‎.d
پژوهشگران	حمید رضا علی حسینی (نفر اول)، داود علیمحمدی (نفر دوم)