Amenability of Beurling Algebra - Zabandan, Gholamreza
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In this monograph, some new techniques are developed to define derivation on a Beurling algebra. Moreover, the amenability, weak amenability of a Beurling algebra and amenability of its second dual are discussed. Also, it is shown that if G is non-discrete, then the Banach algebra M(G,w) is not weakly amenable. Finally, the conjecture of H.G.Dales and A.T.M.Lau about 2-weakly amenability of a Beurling algebra is proved with an additional condition which is weaker than almost invariance.

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Produktbeschreibung
In this monograph, some new techniques are developed to define derivation on a Beurling algebra. Moreover, the amenability, weak amenability of a Beurling algebra and amenability of its second dual are discussed. Also, it is shown that if G is non-discrete, then the Banach algebra M(G,w) is not weakly amenable. Finally, the conjecture of H.G.Dales and A.T.M.Lau about 2-weakly amenability of a Beurling algebra is proved with an additional condition which is weaker than almost invariance.
Autorenporträt
G.Zabandan is an assistant professor of mathematics at Tarbiat Moallem University, Tehran. His areas of interest are Harmonic Analysis, Amenability and Inequalities.