RT Journal Article
T1 L-p[0,1] \ boolean OR(q > p) L-q[0,1] is spaceable for every p > 0
A1 Botelho, G.
A1 Fávaro, V.V.
A1 Pellegrino, Daniel
A1 Seoane-Sepúlveda, Juan B.
AB In this short note we prove the result stated in the title: that is, for every p > 0 there exists an infinite dimensional closed linear sub-space of L-p[0, 1] every nonzero element of which does not belong to boolean OR(q>p) L-q[0, 1]. This answers in the positive a question raised in 2010 by R.M. Aron on the spaceability of the above sets (for both, the Banach and quasi-Banach cases). We also complete some recent results from Botelho et al. (2011) [3] for subsets of sequence spaces. (C) 2012 Elsevier Inc. All rights reserved.
PB Elsevier Science
SN 0024-3795
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/42561
UL https://hdl.handle.net/20.500.14352/42561
LA eng
NO CNPq
NO FAPEMIG
NO CNPq
NO CAPES-NF
NO Spanish Ministry of Science
DS Docta Complutense
RD 6 abr 2025