| Title | Lineability and modes of convergence |
|---|---|
| Authors | Calderon-Moreno, M. C. , GERLACH MENA, PABLO JOSÉ, Prado-Bassas, J. A. |
| External publication | Si |
| Means | Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. |
| Scope | Article |
| Nature | Científica |
| JCR Quartile | 1 |
| SJR Quartile | 2 |
| JCR Impact | 2.169 |
| SJR Impact | 0.838 |
| Publication date | 01/01/2020 |
| ISI | 000501312000011 |
| DOI | 10.1007/s13398-019-00743-z |
| Abstract | In this paper we look for the existence of large linear and algebraic structures of sequences of measurable functions with different modes of convergence. Concretely, the algebraic size of the family of sequences that are convergent in measure but not a.e. pointwise, uniformly but not pointwise convergent, and uniformly convergent but not in L1-norm, are analyzed. These findings extend and complement a number of earlier results by several authors. |
| Keywords | Lineability; Algebrability; Uniform convergence; Convergence in measure; Pointwise convergence; Convergence in L-1-norm |
| Universidad Loyola members |