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.