Spaces of holomorphic functions on non-balanced domains

López-Salazar Codes, Jerónimo (2014). Spaces of holomorphic functions on non-balanced domains. "Journal of Mathematical Analysis and Applications", v. 414 (n. 1); pp. 1-9. ISSN 0022-247X. https://doi.org/10.1016/j.jmaa.2013.12.029.

Description

Title: Spaces of holomorphic functions on non-balanced domains
Author/s:
  • López-Salazar Codes, Jerónimo
Item Type: Article
Título de Revista/Publicación: Journal of Mathematical Analysis and Applications
Date: 1 June 2014
ISSN: 0022-247X
Volume: 414
Subjects:
Freetext Keywords: Holomorphic function, Nachbin topology, τδ topology
Faculty: E.T.S.I. y Sistemas de Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

This paper studies the coincidence of the Tw and t$ topologies on the space of holomorphic functions defined on an open subset U of a Banach space. Dineen and Mujica proved that Tw = t$ when U is a balanced open subset of a separable Banach space with the bounded approximation property. Here, we study the tw = T$ problem for several types of non-balanced domains U.

More information

Item ID: 40208
DC Identifier: http://oa.upm.es/40208/
OAI Identifier: oai:oa.upm.es:40208
DOI: 10.1016/j.jmaa.2013.12.029
Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X13011086
Deposited by: Memoria Investigacion
Deposited on: 20 Feb 2017 18:05
Last Modified: 20 Feb 2017 18:05
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