The Strong Property (B) for Lp Spaces

dc.contributor.author	Martínez Abejón, Antonio
dc.date.accessioned	2022-11-16T11:04:12Z
dc.date.available	2022-11-16T11:04:12Z
dc.date.issued	2022
dc.identifier.citation	Mediterranean Journal of Mathematics, 19(5) (2022); doi:10.1007/s00009-021-01907-1
dc.identifier.issn	1660-5446
dc.identifier.uri	http://hdl.handle.net/10651/65602
dc.description.abstract	Given 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 derived	spa
dc.description.sponsorship	Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.	spa
dc.language.iso	eng	spa
dc.relation.ispartof	Mediterranean Journal of Mathematics	spa
dc.rights	Atribución 4.0 Internacional	*
dc.rights	© The Author(s) 2021
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.title	The Strong Property (B) for Lp Spaces	spa
dc.type	journal article	spa
dc.identifier.doi	10.1007/s00009-021-01907-1
dc.local.notes	OA ATUO21
dc.relation.publisherversion	https://doi.org/10.1007/s00009-021-01907-1	spa
dc.rights.accessRights	open access	spa
dc.type.hasVersion	VoR

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