2026-06-28T15:24:27Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/425612025-04-08T14:43:11Zcom_20.500.14352_14col_20.500.14352_15

L-p[0,1] \ boolean OR(q > p) L-q[0,1] is spaceable for every p > 0 Botelho, G. Fávaro, V.V. Pellegrino, Daniel Seoane Sepúlveda, Juan Benigno 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. 2023-06-20T00:26:06Z 2023-06-20T00:26:06Z 2012 journal article 0024-3795 10.1016/j.laa.2011.12.028 https://hdl.handle.net/20.500.14352/42561 http://www.elsevier.com/locate/laa http://www.elsevier.com http://arxiv.org/pdf/1106.0309.pdf eng Grant 306981/2008-4, Grant CEX-APQ-00208-09 Grant 301237/2009-3, Grant MTM2009-07848 restricted access Elsevier Science