A Banach algebra A is weakly amenable provided that every bounded derivation from A to its dual A is inner. In H1], the rst-named author, building on earlier work of J. W. Bunce and W. L. Paschke BP], proved that every C-algebra is weakly amenable. We give a simpliied and uniied proof of this theorem. B. E. Johnson has proved that every bounded Jordan derivation from a C-algebra A to any Banach...

We will extend in this paper some results about commutativity of Jordan ideals proved [2] and [6]. However, we consider left derivations instead derivations, which is enough to get good relation the structure near-rings. also show that conditions imposed cannot be removed.

This paper proposes a method of incrementally constructing semantic representations. Our method is based on Steedman’s Combinatory Categorial Grammar (CCG), which has a transparent correspondence between the syntax and semantics. In our method, a derivation for a sentence is constructed in an incremental fashion and the corresponding semantic representation is derived synchronously. Our method ...