| Title | Algebraic structure of continuous, unbounded and integrable functions |
|---|---|
| Authors | Calderon-Moreno, M. C. , GERLACH MENA, PABLO JOSÉ, Prado-Bassas, J. A. |
| External publication | Si |
| Means | J. Math. Anal. Appl. |
| Scope | Article |
| Nature | Científica |
| JCR Quartile | 1 |
| SJR Quartile | 1 |
| JCR Impact | 1.22 |
| SJR Impact | 1.021 |
| Publication date | 01/02/2019 |
| ISI | 000449038200023 |
| DOI | 10.1016/j.jmaa.2018.10.007 |
| Abstract | In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions in [0, +infinity) and of the family of sequences of these functions converging to zero uniformly on compacta and in L-1-norm. In addition, we concentrate on the speed at which these functions grow, their smoothness and the strength of their convergence to zero. (C) 2018 Elsevier Inc. All rights reserved. |
| Keywords | Continuous unbounded functions; Integrable functions; Lineability; Algebrability |
| Universidad Loyola members |