University of MaraghehSahand Communications in Mathematical Analysis2322-580708120171001Second dual space of little $alpha$-Lipschitz vector-valued operator algebras33412307210.22130/scma.2017.23072ENAbbasaliShokriDepartment of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran.Journal Article20160312Let $(X,d)$ 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.https://scma.maragheh.ac.ir/article_23072_37fba52745f4bc2b7c6107415e1dffc2.pdf