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Lineability of the set of holomorphic mappings with dense range
Citation
López-Salazar Codes, Jerónimo (2012). Lineability of the set of holomorphic mappings with dense range. "Studia Mathematica", v. 210 (n. 2); pp. 177-188. ISSN 0039-3223. https://doi.org/10.4064/sm210-2-5.
Description
| Title: | Lineability of the set of holomorphic mappings with dense range |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Studia Mathematica |
| Date: | 2012 |
| ISSN: | 0039-3223 |
| Volume: | 210 |
| Subjects: | |
| Freetext Keywords: | holomorphic function, lineable set. |
| Faculty: | E.U.I.T. Telecomunicación (UPM) |
| Department: | Matemática Aplicada a la Ingeniería Técnica de Telecomunicación [hasta 2014] |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
Let U be an open subset of a separable Banach space. Let F be the collection of all holomorphic mappings f from the open unit disc D � C into U such that f(D) is dense in U. We prove the lineability and density of F in appropriate spaces for diferent choices of U. RESUMEN. Sea U un subconjunto abierto de un espacio de Banach separable. Sea F el conjunto de funciones holomorfas f definidas en el disco unidad D del plano complejo con valores en U tales que f(D) es denso en U. En el artículo se demuestra la lineabilidad y densidad del conjunto F para diferentes elecciones de U.
More information
| Item ID: | 22364 |
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| DC Identifier: | https://oa.upm.es/22364/ |
| OAI Identifier: | oai:oa.upm.es:22364 |
| DOI: | 10.4064/sm210-2-5 |
| Official URL: | http://journals.impan.gov.pl/sm/Inf/210-2-5.html |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 18 Mar 2014 16:19 |
| Last Modified: | 21 Apr 2016 14:16 |
