Lineability and algebrability of pathological phenomena in analysis
| dc.contributor.author | García-Pacheco, F.J. | |
| dc.contributor.author | Palmberg, N. | |
| dc.contributor.author | Seoane Sepúlveda, Juan Benigno | |
| dc.date.accessioned | 2023-06-20T10:33:09Z | |
| dc.date.available | 2023-06-20T10:33:09Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | We show that, in analysis, many pathological phenomena occur more often than one could expect, that is, in a linear or algebraic way. We show this by means of the construction of large algebraic structures (infinite dimensional vector spaces or infinitely generated algebras) enjoying some special or pathological properties. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Academy of Finland | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/20079 | |
| dc.identifier.doi | 10.1016/j.jmaa.2006.03.025 | |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0022247X06002745 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50465 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of Mathematical Analysis and Applications | |
| dc.language.iso | eng | |
| dc.page.final | 939 | |
| dc.page.initial | 929 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | No. 205644. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.5 | |
| dc.subject.keyword | Algebrability | |
| dc.subject.keyword | Spaceability | |
| dc.subject.keyword | Hamel basis | |
| dc.subject.keyword | Taylor expansion | |
| dc.subject.keyword | Linear functions | |
| dc.subject.keyword | R-linear functions | |
| dc.subject.keyword | Dirichlet function | |
| dc.subject.keyword | Everywhere surjective functions | |
| dc.subject.ucm | Funciones (Matemáticas) | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Lineability and algebrability of pathological phenomena in analysis | |
| dc.type | journal article | |
| dc.volume.number | 326 | |
| dcterms.references | R.M. Aron, V.I. Gurariy, J.B. Seoane-Sepúlveda, Lineability and spaceability of sets of functions on R, Proc. Amer.Math. Soc. 133 (2005) 795–803. R.M. Aron, D. Pérez-García, J.B. Seoane-Sepúlveda,Algebrability of the set of non-convergent Fourier series, Studia Math., in press. R.M. Aron, J.B. Seoane-Sepúlveda, Algebrability of the set of everywhere surjective functions on C, Bull. Belg.Math. Soc. Simon Stevin, in press. R.P. Boas, A Primer of Real Functions, fourth ed., The Mathematical Association of America, 1996. P. Enflo, V.I. Gurariy, On lineability and spaceability of sets in function spaces, preprint. B.R. Gelbaum, J.M.H. Olmsted, Counterexamples in Analysis,Dover Publications, New York, 2003. V.I. Gurariy, Subspaces and bases in spaces of continuous functions, Dokl. Akad. Nauk SSSR 167 (1966) 971–973 (in Russian). H. Lebesgue, Leçons sur l’intégration, Gauthier–Willars,1904. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e85d6b14-0191-4b04-b29b-9589f34ba898 | |
| relation.isAuthorOfPublication.latestForDiscovery | e85d6b14-0191-4b04-b29b-9589f34ba898 |
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