Sierpitski-Zygmund Functions and other Problems on Lineability
| dc.contributor.author | Gámez Merino, José Luis | |
| dc.contributor.author | Muñoz-Fernández, Gustavo A. | |
| dc.contributor.author | Sánchez, V.M. | |
| dc.contributor.author | Seoane Sepúlveda, Juan Benigno | |
| dc.date.accessioned | 2023-06-20T00:18:22Z | |
| dc.date.available | 2023-06-20T00:18:22Z | |
| dc.date.issued | 2010-11 | |
| dc.description.abstract | We find large algebraic structures inside the following sets of pathological functions: (i) perfectly everywhere surjective functions, (ii) differentiable functions with almost nowhere continuous derivatives, (iii) differentiable nowhere monotone functions, and (iv) Sierpinski-Zygmund functions. The conclusions obtained on (i) and (iii) are improvements of some already known results. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Spanish Ministry of Science and Innovation | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16916 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.relatedurl | http://www.ams.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42365 | |
| dc.issue.number | 11 | |
| dc.journal.title | Proceedings of the American Mathematical Society | |
| dc.page.final | 3876 | |
| dc.page.initial | 3863 | |
| dc.publisher | American Mathematical Society | |
| dc.relation.projectID | MTM2009-07848, MTM2008-02652 | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Lineability | |
| dc.subject.keyword | algebrability | |
| dc.subject.keyword | everywhere surjective | |
| dc.subject.keyword | nowhere monotone | |
| dc.subject.keyword | approximately continuous | |
| dc.subject.keyword | Pompeiu derivative | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Sierpitski-Zygmund Functions and other Problems on Lineability | |
| dc.type | journal article | |
| dc.volume.number | 138 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 82bc6afe-22a9-4152-a980-f481478623eb | |
| relation.isAuthorOfPublication | e85d6b14-0191-4b04-b29b-9589f34ba898 | |
| relation.isAuthorOfPublication.latestForDiscovery | 82bc6afe-22a9-4152-a980-f481478623eb |