Lineability, spaceability, and latticeability of subsets of C([0, 1]) and Sobolev spaces.

Authors :: Carmona Tapia, J.
Fernández-Sánchez, J.
Seoane-Sepúlveda, J. B.
Trutschnig, W.
Source :: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM; Jul2022, Vol. 116 Issue 3, p1-15, 15p
Publication Year :: 2022
Abstract: This work is a contribution to the ongoing search for algebraic structures within a nonlinear setting. Here, we shall focus on the study of lineability of subsets of continuous functions on the one hand and within the setting of Sobolev spaces on the other (which represents a novelty in the area of research). [ABSTRACT FROM AUTHOR]

Language :: English
ISSN :: 15787303
Volume :: 116
Issue :: 3
Database :: Complementary Index
Journal :: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales / RACSAM
Publication Type :: Periodical
Accession number :: 157019608
Full Text :: https://doi.org/10.1007/s13398-022-01256-y

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