The Biduality Problem and M-Ideals in Weighted Spaces of Holomorphic Functions

作者：Boyd Christopher^*; Rueda Pilar

来源：Journal of Convex Analysis, 2011, 18(4): 1065-1074.

Given a weight v on an open subset U of C-n,H-v(U) (resp. H-vo(U)) denotes the Banach space of holomorphic functions f on U such that vf is bounded on U (resp. converges to 0 on the boundary of U). We show that H-v(U) is canonically isometrically isomorphic to the bidual of H-vo(U) if and only if H-vo(U) is an M-ideal in H-v(U) and the associated weights (v) over tilde (o) and (v) over tilde coincide.

• 出版日期2011