Obtaining algebrability in subsets of real functions

J. Fern                <meta name=

2020/96/1-2 (17) — DOI: 10.5486/PMD.2020.8660 — pp. 231-244

Obtaining algebrability in subsets of real functions

Authors: J. Fernandez-Sanchez, G. A. Munoz-Fernandez, D. L. Rodriguez-Vidanes and J. B. Seoane-Sepulveda

Abstract:

In this note, we provide a fairly simple technique to obtain algebrability within the framework of real-valued functions of one single variable. This allows us to recover old algebrability results by means of this technique (as well as obtaining new ones).

Keywords: lineability, spaceability, algebrability, special functions, continuous functions

Mathematics Subject Classification: 15A03, 30D15, 26A30