Second dual space of little $alpha$-Lipschitz vector-valued operator algebras
Journal: Sahand Communications in Mathematical Analysis (Vol.8, No. 1)Publication Date: 2017-10-01
Authors : Abbasali Shokri;
Page : 33-41
Keywords : Second dual space; $alpha$-Lipschitz operator; Vector-valued operator;
Abstract
Let $(X,d)$ be an infinite compact metric space, let $(B,parallel . parallel)$ be a unital Banach space, and take $alpha in (0,1).$ In this work, at first we define the big and little $alpha$-Lipschitz vector-valued (B-valued) operator algebras, and consider the little $alpha$-lipschitz $B$-valued operator algebra, $lip_{alpha}(X,B)$. Then we characterize its second dual space.
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Last modified: 2018-02-03 20:15:01