English

On a characterization of finite-dimensional vector spaces

Functional Analysis 2021-02-18 v4

Abstract

We provide a characterization of the finite dimensionality of vector spaces in terms of the right-sided invertibility of linear operators on them.

Keywords

Cite

@article{arxiv.2008.09270,
  title  = {On a characterization of finite-dimensional vector spaces},
  author = {Marat V. Markin},
  journal= {arXiv preprint arXiv:2008.09270},
  year   = {2021}
}

Comments

Minor readability improvements, corrected typo

R2 v1 2026-06-23T18:00:27.979Z