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Title
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Approximate biflatness and Johnson pseudo-contractibility of some Banach algebras
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Type
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JournalPaper
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Keywords
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approximate biflatness; Johnson pseudo-contractibility; Lipschitz al- gebra; triangular Banach algebra
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Abstract
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We study the structure of Lipschitz algebras under the notions of approximate biflatness and Johnson pseudo-contractibility. We show that for a compact metric space X, the Lipschitz algebras Lip_{alpha}(X) and lip_{alpha}(X) are approximately biflat if and only if X is finite, provided that 0 < alpha < 1. We give a necessary and sufficient condition that a vector-valued Lipschitz algebras is Johnson pseudo-contractible. We also show that some triangular Banach alge- bras are not approximately biflat.
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Researchers
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Hamzeh Zangeneh (Fourth Researcher), Eghbal Ghaderi (Third Researcher), Mohammad Reza Omidi (Second Researcher), Amir Sahami (First Researcher)
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