Amenability of Beurling Algebra

ISBN-13: 9783843365482 / Angielski / Miękka / 2010 / 108 str.

Opis

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

O autorze

G.Zabandan is an assistant professor of mathematics at Tarbiat Moallem University, Tehran. His areas of interest are Harmonic Analysis, Amenability and Inequalities.