TWO CHARACTERIZATIONS OF WEAK AMENABILITY OF COMMUTATIVE BANACH ALGEBRAS

Authors

  • Hussein M. GHLAIO1 1Department of Mathematics, Misurata University, Misurata, Libya

DOI:

https://doi.org/10.65540/jar.v12i.1017

Abstract

In this paper, we shall describe two nice characterizations of weak amenability of commutative Banach algebras. We shall prove the equivalence between Groenbaek's characterization, and Johnson's characterization for these algebras.  

References

H. G. Dales, Banach algebras and automatic continuity, London Math. Soc. Monographs, Volume 24, Clarendon press, Oxford, 2000.

N. Groenbaek, A characterization of weakly amenable Banach algebras, Studia Math., 94 (1989), 149-161.

B. E. Johnson, Derivations from L^( 1) (G) into L^( 1) (G) and L^( ∞) (G), Porc. of the Harmonic Analysis Conference, Lecture Notes in Maths, (1988), 191-198.

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Published

2018-06-30

How to Cite

GHLAIO1, H. M. (2018). TWO CHARACTERIZATIONS OF WEAK AMENABILITY OF COMMUTATIVE BANACH ALGEBRAS. Journal of Academic Research, 12, 513–518. https://doi.org/10.65540/jar.v12i.1017

Issue

Vol. 12 (2018)

Section

Article

License

Copyright (c) 2018 Hussein M. GHLAIO1

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This work is licensed under a Creative Commons Attribution 4.0 International License.