عنوان
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AMENABILITY AND WEAK AMENABILITY OF SOME BANACH ALGEBRAS RELATED TO HOMOGENEOUS SPACES
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Amenability, Weak amenability,Banach algebras
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چکیده
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In this paper, we suppose that H is a compact subgroup of locally compact topologicalgroup G and G/H is a homogeneous space which is equipped with a strongly quasi-invariant Radon measure µ.Then in the group algebra L1(G), we replace the homogeneousespace G/H in stead of G and consider the new Banach algebra L1(G/H). We study thisBanach algebra and it’s dual. At the end, by characterization of L∞(G/H) and the leftand right dual L1(G/H)-module actions of L∞(G/H), we give a necessary and sufficientconditions for amenability and weak amenability of this Banach algebra
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پژوهشگران
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بهروز الفتیان گیلان (نفر اول)، محمدرضا امیدی (نفر دوم)، امیر سهامی (نفر سوم)، علی زمانی (نفر چهارم)
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