Lineability, spaceability, and latticeability of subsets of C ([0,1]) and Sobolev spaces
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Carmona Tapia, José; Fernández Sánchez, Juan; Seoane Sepúlveda, Juan Benigno; Trutschnig, WolfgangDate
2022Abstract
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).
Palabra/s clave
Lineability
Algebrability
Continuous function
Sobolev space
Banach lattice