شماره ركورد كنفرانس :
4338
عنوان مقاله :
Weakly compact composition operators on real Lipschitz spaces of complex-valued functions
پديدآورندگان :
Alimohammadi Davood d-alimohammadi@araku.ac.ir Department of Mathematics,Faculty of Science,
Arak University, Arak, Iran; , Alihoseini Hamidreza hr$\_$alihoseini@yahoo.com Department of Mathematics,Faculty of Science, Arak University, Arak, Iran;
كليدواژه :
Compact operator , composition operator , Lipschitz functions , Lipschitz involution , weakly compact operator
عنوان كنفرانس :
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
چكيده فارسي :
Let $(X,d)$ be a compact metric space, $\tau $ be a topological involution on $(X, d)$ and $\alpha \in (0, 1]$. We prove that every weakly compact composition operator on real Lipschitz spaces of complex-valued functions ${\rm Lip}(X, d^\alpha, \tau)$ and ${\rm lip}(X, d^\alpha, \tau)$ is compact.
