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Second dual space of little $alpha$-Lipschitz vector-valued operator algebras

Journal: Sahand Communications in Mathematical Analysis (Vol.8, No. 1)

Publication Date:

Authors : ;

Page : 33-41

Keywords : Second dual space; $alpha$-Lipschitz operator; Vector-valued operator;

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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.

Last modified: 2018-02-03 20:15:01