On realcompact topological vector spaces
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| dc.contributor.author | Kakol, Jerzy Marian
|
es_ES |
| dc.contributor.author | López Pellicer, Manuel
|
es_ES |
| dc.date.accessioned | 2016-12-21T09:14:16Z | |
| dc.date.available | 2016-12-21T09:14:16Z | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.uri | http://hdl.handle.net/10251/75518 | |
| dc.description.abstract | [EN] This survey paper collects some of older and quite new concepts and results from descriptive set topology applied to study certain infinite-dimensional topological vector spaces appearing in Functional Analysis, including Frechet spaces, (L F)-spaces, and their duals, (D F)-spaces and spaces of continuous real-valued functions C(X) on a completely regular Hausdorff space X. Especially (L F)-spaces and their duals arise in many fields of Functional Analysis and its applications, for example in Distributions Theory, Differential Equations and Complex Analysis. The concept of a realcompact topological space, although originally introduced and studied in General Topology, has been also studied because of very concrete applications in Linear Functional Analysis. | es_ES |
| dc.description.sponsorship | The research for the first named author was (partially) supported by Ministry of Science and Higher Education, Poland, Grant no. NN201 2740 33 and for the both authors by the project MTM2008-01502 of the Spanish Ministry of Science and Innovation. | |
| dc.language | Inglés | es_ES |
| dc.publisher | Springer | es_ES |
| dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas | es_ES |
| dc.rights | Reconocimiento - No comercial (by-nc) | es_ES |
| dc.subject | Angelicity | es_ES |
| dc.subject | Baire and (b-) Baire-like | es_ES |
| dc.subject | Bornological | es_ES |
| dc.subject | Borel set | es_ES |
| dc.subject | C*-embedded | es_ES |
| dc.subject | Class B | es_ES |
| dc.subject | (DF) space | es_ES |
| dc.subject | Distinguished space | es_ES |
| dc.subject | Frechet-Urysohn | es_ES |
| dc.subject | k-Space | es_ES |
| dc.subject | K-Analytic | es_ES |
| dc.subject | (Weakly) Lindelof (Sigma) | es_ES |
| dc.subject | Locally convex space | es_ES |
| dc.subject | (Sigma-)Quasi-Suslin space | es_ES |
| dc.subject | (Strongly) realcompact space | es_ES |
| dc.subject | Talagrand compact | es_ES |
| dc.subject | (Countable) tightness | es_ES |
| dc.subject | Trans-separable | es_ES |
| dc.subject | Weakly compact | es_ES |
| dc.subject | (WCG) space | es_ES |
| dc.subject | Web-bounded (compact) | es_ES |
| dc.subject.classification | MATEMATICA APLICADA | es_ES |
| dc.title | On realcompact topological vector spaces | es_ES |
| dc.type | Artículo | es_ES |
| dc.identifier.doi | 10.1007/s13398-011-0003-0 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MNiSW//NN201 2740 33/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2008-01502/ES/ELEMENTOS DE TOPOLOGIA DESCRIPTIVA DE CONJUNTOS EN ANALISIS FUNCIONAL LINEAL/ | |
| dc.rights.accessRights | Abierto | es_ES |
| dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural - Escola Tècnica Superior d'Enginyeria Agronòmica i del Medi Natural | es_ES |
| dc.description.bibliographicCitation | Kakol, JM.; López Pellicer, M. (2011). On realcompact topological vector spaces. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 105(1):39-70. https://doi.org/10.1007/s13398-011-0003-0 | es_ES |
| dc.description.accrualMethod | S | es_ES |
| dc.relation.publisherversion | https://dx.doi.org/10.1007/s13398-011-0003-0 | es_ES |
| dc.description.upvformatpinicio | 39 | es_ES |
| dc.description.upvformatpfin | 70 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 105 | es_ES |
| dc.description.issue | 1 | es_ES |
| dc.relation.senia | 41382 | es_ES |
| dc.identifier.eissn | 1579-1505 | |
| dc.contributor.funder | Ministerio de Ciencia e Innovación | |
| dc.contributor.funder | Ministry of Science and Higher Education, Polonia | |
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