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Spaces of holomorphic functions on non-balanced domains
Citation
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 |
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| Author/s: |
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| 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 |
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 |
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| DC Identifier: | https://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 |
