n-WEAK AMENABILITY AND STRONG DOUBLE LIMIT PROPERTY

Title & Authors
n-WEAK AMENABILITY AND STRONG DOUBLE LIMIT PROPERTY
MEDGHALCHI, A.R.; YAZDANPANAH, T.;

Abstract
Let A be a Banach algebra, we say that A has the strongly double limit property (SDLP) if for each bounded net $\small{(a_\alpha)}$ in A and each bounded net $(a^{\ast}\;_\beta)\;in\;A^{\ast},\;lim_\alpha\;lim_\beta Keywords Banach algebra;weak amenability;Arens regular;n-weak amenability; Language English Cited by 1. The third dual of a Banach algebra, Studia Scientiarum Mathematicarum Hungarica, 2008, 45, 1, 1 References 1. W. G. Bade, P. C. Curtis, and H. G. Dales, Amenability and weak amenability for Bearling and Lipschitz algebras, Proc. London Math. Soc. 55 (1987), no. 3, 359-377 2. H. G. Dales, F. Ghahramani, and N. Gronbaek, Derivations into iterated duals of Banach algebras, Studia Math. 128 (1998), no. 1, 19-54 3. J. Duncan and Hosseiniun, The second dual of a Banach algebra, Proc. Roy. Soc. Edinburgh Sect. A 84 (1978), 309-325 4. B. E. Johnson, Cohomology in Banach algebras, Mem. Amer. Math. Soc. 127 (1972) 5. T. W. Palmer, Banach algebras and the general theory of$^{\ast}\$-algebras. Vol. I. Algebras and Banach algebras, Cambridge University Press, 1994