ACTA issues

Biduals of Banach algebras which are dense subalgebras of Arens regular Banach algebras

B. J. Tomiuk

Acta Sci. Math. (Szeged) 61:1-4(1995), 399-411

Abstract. We investigate Arens regularity of semisimple Banach algebras $A$ which can be continuously embedded as dense subalgebras of Arens regular semisimple Banach algebras $B$. We assume that the algebras $A$ are right weakly completely continuous or weakly completely continuous.

AMS Subject Classification (1991): 46H20, 46H10, 46H35

Received September 23, 1994, and in revised form March 2, 1995. (Registered under 5695/2009.)