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

Carmona Tapia, J.Fernández Sánchez, J.Seoane-Sepúlveda, Juan B.Trutschnig, W.2023-06-222023-06-222022-05-211578-730310.1007/s13398-022-01256-yhttps://hdl.handle.net/20.500.14352/71543CRUE-CSIC (Acuerdos Transformativos 2022)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).engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/Lineability, spaceability, and latticeability of subsets of C([0, 1]) and Sobolev spacesjournal articlehttps://doi.org/10.1007/s13398-022-01256-yhttps://link.springer.com/article/10.1007/s13398-022-01256-yopen access512.64LineabilityAlgebrabilityContinuous functionSobolev spaceBanach latticeÁlgebraAnálisis matemáticoAnálisis funcional y teoría de operadores1201 Álgebra1202 Análisis y Análisis Funcional