Weakly continuous holomorphic functions on Banach spaces with a shrinking and unconditional basis

Berrios, S

Artículos de revistas

Registro en:

Journal Of Mathematical Analysis And Applications. Academic Press Inc Elsevier Science, v. 337, n. 1, n. 556, n. 575, 2008.

0022-247X

WOS:000255425400046

10.1016/j.jmaa.2007.04.005

http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/72793

http://www.repositorio.unicamp.br/handle/REPOSIP/72793

http://repositorio.unicamp.br/jspui/handle/REPOSIP/72793

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1285233

Autor

Berrios, S

Institución

Universidade Estadual de Campinas (Brasil)

Resumen

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 f : U -> F that is weakly continuous on U-bounded sets is weakly uniformly continuous on U-bounded sets. (C) 2007 Elsevier Inc. All rights reserved.

337

556

575

Materias

holomorphic functions

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