2026-06-29T09:34:08Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/715432025-04-08T14:42:58Zcom_20.500.14352_14col_20.500.14352_15
Lineability, spaceability, and latticeability of subsets of C([0, 1]) and Sobolev spaces
Carmona Tapia, J.
Fernández Sánchez, J.
Seoane Sepúlveda, Juan Benigno
Trutschnig, W.
512.64
Lineability
Algebrability
Continuous function
Sobolev space
Banach lattice
Álgebra
Análisis matemático
Análisis funcional y teoría de operadores
1201 Álgebra
1202 Análisis y Análisis Funcional
CRUE-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).
Ministerio de Ciencia e Innovación (MICINN)
Junta de Andalucía
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
Instituto de Matemática Interdisciplinar (IMI)
TRUE
pub
2023-06-22T10:44:09Z
2023-06-22T10:44:09Z
2022-05-21
journal article
https://hdl.handle.net/20.500.14352/71543
1578-7303
10.1007/s13398-022-01256-y
eng
PGC2018-096422-B-I00; PGC2018-097286-B-I00
P18-FR-667, FQM194
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
open access
application/pdf
Springer