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On realcompact topological vector spaces

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On realcompact topological vector spaces

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Nombre: JERZY KAKOL;López ...
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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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