عنوان
|
The structure of ideals, point derivations, amenability and weak amenability of extended Lipschitz algebras
|
نوع پژوهش
|
مقاله چاپشده
|
کلیدواژهها
|
Amenability, Banach function algebra, Extended Lipschitz algebra, Point derivation, Weak amenability
|
چکیده
|
In this paper we first study the structure of certain ideals of ${\rm Lip}(X,K,d^\alpha)$. Next we show that if $K$ is infinite and ${\rm int}(K)$ contains a limit point of $K$ then ${\rm Lip}(X,K,d^\alpha)$ has at least a nonzero continuous point derivation and applying this fact we prove that ${\rm Lip}(X,K,d^\alpha)$ is not weakly amenable and amenable.X
|
پژوهشگران
|
ملیحه میقانی (نفر اول)، داود علیمحمدی (نفر دوم)
|