Second dual space of little α -Lipschitz vector-valued operator algebras

Let (X,d) be an infinite compact metric space, let (B,∥.∥) be a unital Banach space, and take α∈(0,1). In this work, at first we define the big and little α-Lipschitz vector-valued (B-valued) operator algebras, and consider the little α-lipschitz B-valued operator algebra, lipα(X,B). Then we characterize its second dual space.