A simple proof of a theorem on (2n)-weak amenability
DOI:
https://doi.org/10.4067/S0716-09172004000200002Keywords:
Triangular Banach algebra, n-weak amenability, algebra triangular de Banach, amenabilidad n-débil.Abstract
A simple proof of (2n)-weak amenability of the triangular Banach
algebra
is given where A is a unital C?-algebra.
References
[1] R. F. Arens, The adjoint of a bilinear operation, Proc. Amer. Math. Soc. 2, pp. 839-848, (1951).
[2] H. G. Dales, F. Ghahramani and N. Gronbæk, Derivations into iterated duals of Banach algebras, Studia Math 128, no. 1, pp. 19-54, (1998).
[3] B. E. Forrest and L. W. Marcoux, Weak amenability of triangular Banach algebras. Trans. Amer. Math. Soc. 354, no. 4, pp. 1435-1452, (2002).
[4] A. Ya. Helemskii, The homology of Banach and topological algebras, Kluwer, Dordrecht, (1989).
[2] H. G. Dales, F. Ghahramani and N. Gronbæk, Derivations into iterated duals of Banach algebras, Studia Math 128, no. 1, pp. 19-54, (1998).
[3] B. E. Forrest and L. W. Marcoux, Weak amenability of triangular Banach algebras. Trans. Amer. Math. Soc. 354, no. 4, pp. 1435-1452, (2002).
[4] A. Ya. Helemskii, The homology of Banach and topological algebras, Kluwer, Dordrecht, (1989).
Published
2017-05-22
How to Cite
[1]
M. Sal Moslehian and F. Negahban, “A simple proof of a theorem on (2n)-weak amenability”, Proyecciones (Antofagasta, On line), vol. 23, no. 2, pp. 89-95, May 2017.
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