TY - JOUR ID - 23072 TI - Second dual space of little $\alpha$-Lipschitz vector-valued operator algebras JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Shokri, Abbasali AD - Department of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran. Y1 - 2017 PY - 2017 VL - 08 IS - 1 SP - 33 EP - 41 KW - Second dual space KW - $alpha$-Lipschitz operator KW - Vector-valued operator DO - 10.22130/scma.2017.23072 N2 - 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. UR - https://scma.maragheh.ac.ir/article_23072.html L1 - https://scma.maragheh.ac.ir/article_23072_37fba52745f4bc2b7c6107415e1dffc2.pdf ER -