TWO CHARACTERIZATIONS OF WEAK AMENABILITY OF COMMUTATIVE BANACH ALGEBRAS

Hussein M.  GHLAIO1

doi:10.65540/jar.v12i.1017

TWO CHARACTERIZATIONS OF WEAK AMENABILITY OF COMMUTATIVE BANACH ALGEBRAS

المؤلفون

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

DOI:

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

الملخص

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.

المراجع

H. G. Dales, Banach algebras and automatic continuity, London Math. Soc. Monographs, Volume 24, Clarendon press, Oxford, 2000. DOI: https://doi.org/10.1093/oso/9780198500131.001.0001

N. Groenbaek, A characterization of weakly amenable Banach algebras, Studia Math., 94 (1989), 149-161. DOI: https://doi.org/10.4064/sm-94-2-149-162

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. DOI: https://doi.org/10.1007/BFb0086599

التنزيلات

pdf (English)

منشور

2018-06-30

كيفية الاقتباس

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