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The Strong Property (B) for Lp Spaces

dc.contributor.authorMartínez Abejón, Antonio 
dc.date.accessioned2022-11-16T11:04:12Z
dc.date.available2022-11-16T11:04:12Z
dc.date.issued2022
dc.identifier.citationMediterranean Journal of Mathematics, 19(5) (2022); doi:10.1007/s00009-021-01907-1
dc.identifier.issn1660-5446
dc.identifier.urihttp://hdl.handle.net/10651/65602
dc.description.abstractGiven a purely non-atomic, finite measure space (Ω, Σ, ν), it is proved that for every closed, infinite-dimensional subspace V of Lp(ν) (1 ≤ p < ∞) there exists a decomposition Lp(ν) = X1 ⊕ X2, such that both subspaces X1 and X2 are isomorphic to Lp(ν) and both V ∩X1 and V ∩ X2 are infinite-dimensional. Some consequences concerning dense, non-closed range operators on L1 are derivedspa
dc.description.sponsorshipOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.spa
dc.language.isoengspa
dc.relation.ispartofMediterranean Journal of Mathematicsspa
dc.rightsAtribución 4.0 Internacional*
dc.rights© The Author(s) 2021
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.titleThe Strong Property (B) for Lp Spacesspa
dc.typejournal articlespa
dc.identifier.doi10.1007/s00009-021-01907-1
dc.local.notesOA ATUO21
dc.relation.publisherversionhttps://doi.org/10.1007/s00009-021-01907-1spa
dc.rights.accessRightsopen accessspa
dc.type.hasVersionVoR


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