Infinite pointwise lineability: general criteria and applications
Functional Analysis
2023-11-14 v2
Abstract
In this paper we introduce the concept of infinite pointwise dense lineability (spaceability), and provide a criterion to obtain density from mere lineability. As an application, we study the linear and topological structures within the set of infinite differentiable and integrable functions, for any order , on which are unbounded in a prefixed set.
Cite
@article{arxiv.2307.10671,
title = {Infinite pointwise lineability: general criteria and applications},
author = {M. C. Calderón-Moreno and P. J. Gerlach-Mena and J. A. Prado-Bassas},
journal= {arXiv preprint arXiv:2307.10671},
year = {2023}
}