Sums and products of bad functions
| dc.contributor.author | Aron, Richard M. | |
| dc.contributor.author | Conejero, Jose A. | |
| dc.contributor.author | Peris, Alfredo | |
| dc.contributor.author | Seoane Sepúlveda, Juan Benigno | |
| dc.date.accessioned | 2023-06-20T10:33:10Z | |
| dc.date.available | 2023-06-20T10:33:10Z | |
| dc.date.issued | 2007 | |
| dc.description | Proceedings of the 5th conference, Edwardsville, IL, USA, May 16–20, 2006. | |
| dc.description.abstract | We examine the question of whether there are algebras of functions having special properties. The types of functions studied will be everywhere surjective functions, hypercyclic entire functions, and continuous functions that attain their maximum at a unique point. | |
| 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 | GVA | |
| dc.description.sponsorship | MEC and FEDER, | |
| dc.description.sponsorship | Research Net | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/20082 | |
| dc.identifier.issn | 0271-4132 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50467 | |
| dc.journal.title | Contemporary Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 52 | |
| dc.page.initial | 47 | |
| dc.publisher | American Mathematical Society | |
| dc.relation.projectID | CTESPP/2005. | |
| dc.relation.projectID | MTM2004-02262 | |
| dc.relation.projectID | MTM2004-21420-E. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Entire functions | |
| dc.subject.keyword | Everywhere surjective functions | |
| dc.subject.keyword | Lineability | |
| dc.subject.keyword | Algebrability. | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Sums and products of bad functions | |
| dc.type | journal article | |
| dc.volume.number | 435 | |
| dcterms.references | R. M. Aron, J. A. Conejero, A. Peris, & J. B. Seoane-Sepulveda, Powers of hypercyclic functions for some classical hypercyclic operators, preprint. R. M. Aron, J. B. Seoane-Sepulveda, & V. Gurariy,Lineability and spaceability of sets of functions R. M. Aron, D. Perez-Garcia, & J. B. Seoane-Sepulveda,Algebrability of the set of non{convergent Fourier series, Studia Math., 175 (2006), no. 1, 83-90. R. M. Aron & J. B. Seoane-Sepulveda, Algebrability of the set of everywhere surjective functions on C, Bull.Belgian Math. Soc.-Simon Stevin, to appear. F. Bayart, Linearity of sets of strange functions, Michigan Math. J., 53 (2005), no. 2, 291-303. F. Bayart & L. Quarta, Algebras of sets of queer functions,Isr. J. Math., to appear. J. B. Conway, Functions of one complex variable, 2nd ed.,Grad. Texts in Math., 11, Springer-Verlag, New York-Berlin, (1978). D. Garcia, B. Grecu, M. Maestre & J. B. Seoane-Sepulveda, Innite dimensional Banach spaces of functions with nonlinear properties, preprint. G. Godefroy & J. H. Shapiro, Operators with dense,invariant, cyclic vector manifolds, J. Funct. Anal.98(1991), no. 2, 229-269. V. Gurariy, Subspaces and bases in spaces of continuous functions, (Russian) Dokl. Akad. Nauk SSSR 167 (1966), 971-973. V. Gurariy & W. Lusky, Geometry of Mauntz spaces and related questions, Lect. Notes in Math., 1870 Springer-Verlag, Berlin, (2005). V. Gurariy & L. Quarta, On lineability of sets of continuous functions, J. Math. Anal. Appl. 294(2004), no.1, 62-72. S. Hencl, Isometrical embeddings of separable Banach spaces into the set of nowhere approximatively diferen-tiable and nowhere HÄolder functions, Proc. Amer. Math. Soc., 128 (2000), 3505-3511. H. Petersson, Hypercyclic subspaces for Fr¶echet space operators, J. Math. Anal. Appl. 319 (2006), no. 2,764-782. L. Rodriguez-Piazza, Every separable Banach space is isometric to a space of continuous nowhere differentiable functions, Proc. Amer. Math. Soc. 123 (1995), no. 12, 3649-3654. J. H. Shapiro, private communication. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | e85d6b14-0191-4b04-b29b-9589f34ba898 | |
| relation.isAuthorOfPublication.latestForDiscovery | e85d6b14-0191-4b04-b29b-9589f34ba898 |
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