English

Counter Examples in Non-Archimedean Locally Convex Spaces

Functional Analysis 2025-10-14 v1

Abstract

In this paper, we shall consider some counter examples in non-archimedean locally convex spaces with special closed subspaces and Schauder basis in non-archimedean Fr\'{e}chet spaces as well as closed subspaces \emph{without} Schauder basis in non-archimedean Fr\'{e}chet spaces.

Keywords

Cite

@article{arxiv.2510.09626,
  title  = {Counter Examples in Non-Archimedean Locally Convex Spaces},
  author = {M. E. Egwe and J. A Braimah},
  journal= {arXiv preprint arXiv:2510.09626},
  year   = {2025}
}