n-WEAK AMENABILITY AND STRONG DOUBLE LIMIT PROPERTY
n-WEAK AMENABILITY AND STRONG DOUBLE LIMIT PROPERTY
Let A be a Banach algebra, we say that A has the strongly double limit property (SDLP) if for each bounded net <TEX>$(a_\alpha)$</TEX> in A and each bounded net <TEX>$(a^{\ast}\;_\beta)\;in\;A^{\ast},\;lim_\alpha\;lim_\beta<a_\alpha,\;a^{\ast}\;_\beta>=lim_\beta\;lim_\alpha<a_\alpha,\;a^{\ast}\;_\beta>$</TEX> whenever both iterated limits exist. In this paper among other results we show that if A has the SDLP and …