عنوان
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On some approximate homological properties of certain Banach algebras
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نوع پژوهش
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مقاله ارائه شده کنفرانسی
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کلیدواژهها
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Approximate biflatness, Johnson pseudo-contractibility, Lipschitz algebra, triangular Banach algebra
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چکیده
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We study approximate biflatness and Johnson pseudo-contractibility of Lipschitz algebras. We show that for a compact metric space $X,$ the Lipschitz algebras $Lip_{\alpha}(X)$ and $\ell ip_{\alpha}(X)$ are approximately biflat if and only if $X$ is finite, provided that $0<\alpha<1$. Also enough and sufficient condition for vector-valued Lipschitz algebras to be Johnson pseudo-contractible is given. We also show that some triangular Banach algebras are not approximately biflat.
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پژوهشگران
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اقبال قادری (نفر سوم)، مهدی رستمی (نفر دوم)، امیر سهامی (نفر اول)
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