Weak Amenability of C -algebras and a Theorem of Goldstein

  title={Weak Amenability of C -algebras and a Theorem of Goldstein},
  author={N. J. Laustsen},
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 A-bimodule is a derivation Jo]. We present a new proof of this theorem. As an application of these… CONTINUE READING

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