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

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Carmona Tapia, J. and Fernández Sánchez, J. and Seoane-Sepúlveda, Juan B. and Trutschnig, W. (2022) Lineability, spaceability, and latticeability of subsets of C([0, 1]) and Sobolev spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116 (3). ISSN 1578-7303

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Official URL: https://doi.org/10.1007/s13398-022-01256-y




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).


Item Type:Article
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CRUE-CSIC (Acuerdos Transformativos 2022)

Uncontrolled Keywords:Lineability; Algebrability; Continuous function; Sobolev space; Banach lattice
Subjects:Sciences > Mathematics > Algebra
Sciences > Mathematics > Mathematical analysis
Sciences > Mathematics > Functional analysis and Operator theory
ID Code:72543
Deposited On:06 Jun 2022 14:51
Last Modified:13 Jun 2022 08:22

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