%0 Journal Article
%A Botelho, G.
%A Fávaro, V.V.
%A Pellegrino, Daniel
%A Seoane-Sepúlveda, Juan B.
%T L-p[0,1] \ boolean OR(q > p) L-q[0,1] is spaceable for every p > 0
%D 2012
%@ 0024-3795
%U https://hdl.handle.net/20.500.14352/42561
%X 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.
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