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On density and π-weight of Lp(βN,R, μ)

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On density and π-weight of Lp(βN,R, μ)

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dc.contributor.author Iurato, Giuseppe es_ES
dc.date.accessioned 2017-09-13T09:13:50Z
dc.date.available 2017-09-13T09:13:50Z
dc.date.issued 2012-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/87181
dc.description.abstract [EN] The new topological concept of selective separability is able to give some estimates for density and π-weight of the Lebesgue space Lp(βN,R, μ) with 1 ≤ p < +∞. In particular, we deduce a purely topological proof of the non-separability of such a space. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Separability es_ES
dc.subject Selective separability es_ES
dc.subject Lebesgue space es_ES
dc.title On density and π-weight of Lp(βN,R, μ) es_ES
dc.type Artículo es_ES
dc.date.updated 2017-09-13T08:49:07Z
dc.identifier.doi 10.4995/agt.2012.1636
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Iurato, G. (2012). On density and π-weight of Lp(βN,R, μ). Applied General Topology. 13(1):33-38. https://doi.org/10.4995/agt.2012.1636 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2012.1636 es_ES
dc.description.upvformatpinicio 33 es_ES
dc.description.upvformatpfin 38 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 13
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.description.references A. Bella, M. Bonanzinga, M. V. Matveev and V. V. Tkachuck, Selective separability: general facts and behaviour in countable spaces, Topology Proceedings 32 (2008), 15–30. es_ES
dc.description.references N. Dunford and J. T. Schwartz, Linear Operators, Part I, John Wiley and Sons, New York, 1976. es_ES
dc.description.references Ponomarev, V. I. (1966). ON SPACES CO-ABSOLUTE WITH METRIC SPACES. Russian Mathematical Surveys, 21(4), 87-114. doi:10.1070/rm1966v021n04abeh004168 es_ES
dc.description.references W. Rudin, Real and Complex Analysis, MacGraw-Hill, Ljubljana, 1970. L. A. Steen and J. A. Seebach, Counterexamples in Topology, Holt, Rinehart and Winston, Inc., New York, 1970. A. Tesei, Istituzioni di Analisi Superiore, Bollati Boringhieri, Torino, 1997. es_ES
dc.description.references Scheepers, M. (1999). COMBINATORICS OF OPEN COVERS VI: SELECTORS FOR SEQUENCES OF DENSE SETS. Quaestiones Mathematicae, 22(1), 109-130. doi:10.1080/16073606.1999.9632063 es_ES


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