Weakly continuous holomorphic functions on Banach spaces with a shrinking and unconditional basis |
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| Authors: | Sonia Berrios |
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| Institution: | Universidade Estadual de Campinas, Campinas, SP, Brazil |
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| 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. |
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| Keywords: | Holomorphic functions Banach space Unconditional basis Shrinking basis |
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