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dc.creatorAlbiac Alesanco, Fernando Josées_ES
dc.creatorAnsorena, José L.es_ES
dc.creatorDilworth, S. J.es_ES
dc.creatorKutzarova, Denkaes_ES
dc.identifier.issn1730-6337 (Electronic)
dc.description.abstractWe settle in the negative the problem of the superreflexivity of Garling sequence spaces by showing that they contain a complemented subspace isomorphic to a non-superreflexive mixed-norm sequence space. As a by-product, we give applications to the study of conditional Schauder bases and conditional almost greedy bases in this new class of Banach spaces.en
dc.description.sponsorshipF. Albiac and J. L. Ansorena acknowledge the support of the Spanish Ministry for Science, Innovation, and Universities under grant PGC2018-095366-B-I00 for Analisis Vectorial, multilineal, y aproximacion. F. Albiac was also supported by the grant MTM2016-76808-P (MINECO, Spain) for Operators, lattices, and structure of Banach spaces. S. J. Dilworth was supported by the National Science Foundation under Grant Number DMS-1361461. Denka Kutzarova acknowledges the support from Simmons Foundation Collaborative Grant Number 636954. S. J. Dilworth and D. Kutzarova were supported by the Workshop in Analysis and Probability at Texas A&M University in 2017.en
dc.format.extent14 p.
dc.publisherInstytut Matematycznyen
dc.relation.ispartofStudia Mathematica, 2020, 251(3), 277-288en
dc.rights© Instytut Matematyczny PAN, 2020en
dc.subjectSubsymmetric basisen
dc.subjectGarling sequence spacesen
dc.subjectBesov spacesen
dc.subjectConditional basesen
dc.subjectConditionality constantsen
dc.subjectAlmost greedy basesen
dc.titleNon-superreflexivity of Garling sequence spaces and applications to the existence of special types of conditional basesen
dc.typeArtículo / Artikuluaes
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute for Advanced Materials and Mathematics - INAMAT2es_ES
dc.rights.accessRightsAcceso abierto / Sarbide irekiaes
dc.type.versionVersión aceptada / Onetsi den bertsioaes

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