On the Spaceability of the Set of Functions in the Lebesgue Space $$L_p$$ Which are Not in $$L_q$$
Author:
Funder
Fundação de Apoio à Pesquisa do Estado da Paraíba
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00574-023-00360-w.pdf
Reference16 articles.
1. Aron, R.M., Gurariy, V.I., Seoane-Sepúlveda, J.B.: Lineability and spaceability of sets of functions on $${\mathbb{R} }$$. Proc. Am. Math. Soc. 133(3), 795–803 (2005)
2. Aron, R.M., García-Pacheco, F.J., Pérez-García, D., Seoane-Sepúlveda, J.B.: On dense-lineability of sets of functions on $${\mathbb{R} }$$. Topology 48(2–4), 149–156 (2009)
3. Aron, R.M., Bernal-González, L., Pellegrino, D.M., Seoane-Sepúlveda, J.B.: Lineability: the search for linearity in mathematics, Monographs and Research Notes in Mathematics. CRC Press, Boca Raton (2016)
4. Bernal-González, L.: Algebraic genericity of strict order integrability. Studia Math. 199, 279–293 (2010)
5. Bernal-González, L., Cabrera, M.O.: Spaceability of strict order integrability. J. Math. Anal. Appl. 385, 303–309 (2012)
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