Impacto
Downloads
Downloads per month over past year
Araujo, G. and Bernal-González, L. and Muñoz-Fernández, Gustavo A. and Prado-Bassas, J. A. and Seoane-Sepúlveda, Juan B. (2017) Lineability in sequence and function spaces. Studia Mathematica, 237 (2). pp. 119-136. ISSN 0039-3223
Preview |
PDF
401kB |
Official URL: https://arxiv.org/abs/1507.04477
Abstract
We prove the existence of large algebraic structures - including large vector subspaces or infinitely generated free algebras - inside, among others, the family of Lebesgue measurable functions that are surjective in a strong sense, the family of nonconstant differentiable real functions vanishing on dense sets, and the family of discontinuous separately continuous real functions. Lineability in special spaces of sequences is also investigated.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Dense-lineability; Differentiable function; Divergent series; Measurable function; Separate continuity |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory Sciences > Mathematics > Functions |
| ID Code: | 42840 |
| Deposited On: | 22 May 2017 10:02 |
| Last Modified: | 22 May 2017 14:44 |
Origin of downloads
Repository Staff Only: item control page
