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;
تعداد صفحه
4
كليدواژه
Compact operator , composition operator , Lipschitz functions , Lipschitz involution , weakly compact operator
سال انتشار
1395
عنوان كنفرانس
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
زبان مدرك
انگليسي
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.
كشور
ايران
لينک به اين مدرک