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

J. Carmona Tapia; J Fernández-Sánchez; J.B. Seoane-Sepúlveda; Wolfgang Trutschnig

doi:10.1007/s13398-022-01256-y

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

J. Carmona Tapia, J Fernández-Sánchez, J.B. Seoane-Sepúlveda^*, Wolfgang Trutschnig

^*Korrespondierende/r Autor/-in für diese Arbeit

Artificial Intelligence and Human Interfaces

Publikation: Beitrag in Fachzeitschrift › Artikel › Peer-reviewed

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).

Originalsprache	Englisch
Aufsatznummer	113
Fachzeitschrift	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Jahrgang	116
Ausgabenummer	3
DOIs	https://doi.org/10.1007/s13398-022-01256-y
Publikationsstatus	Veröffentlicht - 21 Mai 2022

Bibliographische Notiz

Funding Information:
José Carmona Tapia is partially supported by Ministerio de Ciencia, Innovación y Universidades (MCIU), Agencia Estatal de Investigación (AEI) and (FEDER) Fondo Europeo de Desarrollo Regional under Research Project PGC2018-096422-B-I00, Junta de Andalucía, Consejería de Transformación Económica, Industria, Conocimiento y Universidades-Unión Europea Grant P18-FR-667, FQM194 and CDTIME. Juan B. Seoane-Sepúlveda gratefully acknowledges the support of Grant PGC2018-097286-B-I00. Wolfgang Trutschnig gratefully acknowledges the support of the WISS 2025 project ‘IDA-lab Salzburg’ (20204-WISS/225/197-2019 and 20102-F1901166-KZP).

Publisher Copyright:
© 2022, The Author(s).

Systematik der Wissenschaftszweige 2012

101 Mathematik

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