The subspace $c_0$ is not complemented in $ac_0$
Functional Analysis
2021-05-19 v2
Abstract
We prove that the subspace of sequences that converge to zero is not complemented in the space of sequences that almost converge to zero. We proceed with applying the same approach to inclusion chain .
Cite
@article{arxiv.2102.11953,
title = {The subspace $c_0$ is not complemented in $ac_0$},
author = {Nikolai Avdeev},
journal= {arXiv preprint arXiv:2102.11953},
year = {2021}
}