Weakly continuous holomorphic functions on Banach spaces with a shrinking and unconditional basis |
| |
Authors: | Sonia Berrios |
| |
Affiliation: | Universidade Estadual de Campinas, Campinas, SP, Brazil |
| |
Abstract: | Let E and F be complex Banach spaces, and let U be an open ball in E. We show that if E has a shrinking and unconditional basis, then every holomorphic function that is weakly continuous on U-bounded sets is weakly uniformly continuous on U-bounded sets. |
| |
Keywords: | Holomorphic functions Banach space Unconditional basis Shrinking basis |
本文献已被 ScienceDirect 等数据库收录! |