QUASI-MULTIPLIERS ON K-NORMED ALGEBRAS

In this paper we investigate the extent to which the study of quasi-multipliers can be made beyond Banachalgebras. We shall focus mainly on the class of F-algebras, in particular on complete k-normed algebras,۰ < k ≥ ۱, not necessarily locally convex. The bilinearity and joint continuity of quasi-multipliers on anF-algebra A are obtained under the assumption of strong factorability