Classical theorems through convergence methods
Functional Analysis
2023-07-06 v1
Abstract
We survey some results that provide different versions of classical results through different summability methods. Specifically, in order to adapt such classical results, we analyze which properties should satisfy the summability methods. Sometimes very sharp conditions are obtained, giving a focused view of the subject and from which new problems emerge.
Cite
@article{arxiv.2307.02237,
title = {Classical theorems through convergence methods},
author = {Fernando León-Saavedra and M. del Carmen Listán-García and María Pilar Romero de la Rosa},
journal= {arXiv preprint arXiv:2307.02237},
year = {2023}
}