Weak Amenability of C -algebras and a Theorem of Goldstein

@inproceedings{Laustsen1997WeakAO,
  title={Weak Amenability of C -algebras and a Theorem of Goldstein},
  author={N. J. Laustsen},
  year={1997}
}
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

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-9 of 9 references

C -algebras and operator theory

  • G. J. Murphy
  • Academic Press
  • 1990

Uligheder i C -algebraer

  • B. Bruun
  • Master's Thesis, Odense University
  • 1987
1 Excerpt

Von Neumann algebras

  • J. Dixmier
  • North Holland
  • 1981

Ringrose , Derivations of operator algebras and discrete groupalgebras

  • B. E. Johnson, R. J.
  • Bull . London Math . Soc .
  • 1972

Equivalence in operator algebras

  • G. K. Pedersen
  • Math . Scand .
  • 1970

Invariant means on topological groups

  • F. P. Greenleaf
  • Van Nostrand
  • 1969

All nuclear C algebras are amenable

  • Go S. Goldstein
  • J . Funct . Anal .

Derivations on a C algebra and its double dual

  • J. W. Bunce, W. L. Paschke
  • J . Funct . Anal .

The trace in seminite von Neumann algebras

  • J. R. Ringrose
  • Fundamentals of the theory of operator algebras

Similar Papers

Loading similar papers…