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

Let (X; d) be an in nite compact metric space, let (B; ∥ : ∥) be a unital Banach space, and take 2 (0; 1): In this work, at the rst we de ne the big and little -Lipschitz vector-valued (B-valued) operator algebras, and consider the little -lipschitz B- valued operator algebra, lip (X;B). Then we characterize its sec- ond dual space.

Keywords:

Second dual space , -Lipschitz operator , Vector-valued operator