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Locally convex approach spaces

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Locally convex approach spaces

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dc.contributor.author Sioen, M. es_ES
dc.contributor.author Verwulgen, S. es_ES
dc.date.accessioned 2017-06-05T10:12:06Z
dc.date.available 2017-06-05T10:12:06Z
dc.date.issued 2003-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82370
dc.description.abstract [EN] We continue the investigation of suitable structures for quantified functional analysis, by looking at the notion of local convexity in the setting of approach vector spaces as introduced in [6]. We prove that the locally convex objects are exactly the ones generated (in the usual approach sense) by collections of seminorms. Furthermore, we construct a quantified version of the projective tensor product and show that the locally convex objects admitting a decent exponential law with respect to it are precisely the seminormed spaces. 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 Approach vector space es_ES
dc.subject Topological vector space es_ES
dc.subject Locally convex space es_ES
dc.subject Locally convex approach space es_ES
dc.subject Minkowski functional es_ES
dc.subject Minkowski system es_ES
dc.subject Projective tensor product es_ES
dc.title Locally convex approach spaces es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-05T09:23:24Z
dc.identifier.doi 10.4995/agt.2003.2031
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Sioen, M.; Verwulgen, S. (2003). Locally convex approach spaces. Applied General Topology. 4(2):263-279. https://doi.org/10.4995/agt.2003.2031 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2003.2031 es_ES
dc.description.upvformatpinicio 263 es_ES
dc.description.upvformatpfin 279 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 4
dc.description.issue 2
dc.identifier.eissn 1989-4147


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