Publication:
Q-linear functions, functions with dense graph, and everywhere surjectivity

Thumbnail Image
Files
Seoane35.pdf (62.54 KB)
Official URL
http://www.mscand.dk/article.php?id=3080
Full text at PDC
Publication Date
2008
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Matematisk Institut, Universitetsparken NY Munkegade
Citations
Google Scholar
Exportar
DC QDC MarcXML RDF MODS METS ORE-ATOM
Research Projects
Organizational Units
Journal Issue
Abstract
Let L, S and D denote, respectively, the set of Q-linear functions, the set of everywhere surjective functions and the set of dense-graph functions on R. In this note, we show that the sets D \ (S boolean OR L), S \ L, S boolean AND L and D boolean AND L \ S are lineable. Moreover, all these sets contain (omitting zero) a vector space of the biggest possible dimension, 2(c).
Description
UCM subjects
AnĂĄlisis funcional y teorĂ­a de operadores
Unesco subjects
Keywords
Citation
Aron, R.M., GarcĂ­a, D., Maestre, M., Linearity in non-linear problems, Rev. R.Acad. Cienc.Exactas FĂ­s. Nat. Ser.A Mat. 95 (2001), 7–12. Aron, R. M., Gurariy, V. I., Seoane-SepĂșlveda, J.B.,Lineability and spaceability of sets of functions on R, Proc. Amer. Math. Soc. 133 3 (2005),795–803. Aron, R. M., Seoane-SepĂșlveda, J. B., Algebrability of the set of everywhere surjective functions on C, Bull. Belg.Math. Soc. Simon Stevin 14 n. 1 (2007), 25–31. Enflo, P., Gurariy, V. I., On lineability and spaceability of sets in functions spaces, preprint. GarcĂ­a-Pacheco, F. J., Palmberg, N., Seoane-SepĂșlveda, J.B. Lineability and Algebrability of pathological phenomena in analysis, J. Math. Anal. Appl. 326 n. 2 (2007), 929–939. Gelbaum, B. R., Olmsted, J. M. H., Counterexamples in Analysis, Dover Publications, New York, 2003. Lebesgue, H., Leçons sur l’intĂ©gration, Gauthier-Willars,1904.
URI
https://hdl.handle.net/20.500.14352/50461
Collections
ArtĂ­culos