Gámez-Merino, José L. and Muñoz-Fernández, Gustavo Adolfo and Sánchez, V.M. and Seoane Sepúlveda, Juan Benigno (2010) Sierpitski-Zygmund Functions and other Problems on Lineability. Proceedings of the American Mathematical Society, 138 (11). pp. 3863-3876. ISSN 0002-9939
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Lineability; algebrability; everywhere surjective; nowhere monotone; approximately continuous; Pompeiu derivative |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 16916 |
| Deposited On: | 30 Oct 2012 09:52 |
| Last Modified: | 21 Feb 2013 17:59 |
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