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dc.contributor.author | Romaguera, Salvador | es_ES |
dc.contributor.author | Schellekens, M.P. | es_ES |
dc.date.accessioned | 2017-05-30T10:57:55Z | |
dc.date.available | 2017-05-30T10:57:55Z | |
dc.date.issued | 2002-04-01 | |
dc.identifier.issn | 1576-9402 | |
dc.identifier.uri | http://hdl.handle.net/10251/82023 | |
dc.description.abstract | [EN] The complexity (quasi-metric) space was introduced in [23] to study complexity analysis of programs. Recently, it was introduced in [22] the dual complexity (quasi-metric) space, as a subspace of the function space [0,) ω. Several quasi-metric properties of the complexity space were obtained via the analysis of its dual. We here show that the structure of a quasi-normed semilinear space provides a suitable setting to carry out an analysis of the dual complexity space. We show that if (E,) is a biBanach space (i.e., a quasi-normed space whose induced quasi-metric is bicomplete), then the function space (B*E, B* ) is biBanach, where B*E = {f : E Σ∞n=0 2-n( V ) } and B* = Σ∞n=0 2-n We deduce that the dual complexity space admits a structure of quasinormed semlinear space such that the induced quasi-metric space is order-convex, upper weightable and Smyth complete, not only in the case that this dual is a subspace of [0,)ω but also in the general case that it is a subspace of Fω where F is any biBanach normweightable space. We also prove that for a large class of dual complexity (sub)spaces, lower boundedness implies total boundedness. Finally, we investigate completeness of the quasi-metric of uniform convergence and of the Hausdorff quasi-pseudo-metric for the dual complexity space, in the context of function spaces and hyperspaces, respectively. | es_ES |
dc.description.sponsorship | The first-listed author ackowledges the support of the Spanish Ministry of Science and Technology, grant BFM2000-1111 | |
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 | Complexity space | es_ES |
dc.subject | Quasi-norm | es_ES |
dc.subject | Quasi-metric | es_ES |
dc.subject | biBanach space | es_ES |
dc.subject | Smyth complete | es_ES |
dc.title | Duality and quasi-normability for complexity spaces | es_ES |
dc.type | Artículo | es_ES |
dc.date.updated | 2017-05-30T09:28:15Z | |
dc.identifier.doi | 10.4995/agt.2002.2116 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICYT//BFM2000-1111/ | |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Romaguera, S.; Schellekens, M. (2002). Duality and quasi-normability for complexity spaces. Applied General Topology. 3(1):91-112. https://doi.org/10.4995/agt.2002.2116 | es_ES |
dc.description.accrualMethod | SWORD | es_ES |
dc.relation.publisherversion | https://doi.org/10.4995/agt.2002.2116 | es_ES |
dc.description.upvformatpinicio | 91 | es_ES |
dc.description.upvformatpfin | 112 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 3 | |
dc.description.issue | 1 | |
dc.identifier.eissn | 1989-4147 | |
dc.provenance | Universitat Politècnica de València | |
dc.contributor.funder | Ministerio de Ciencia y Tecnología |