English

An observation on unbounded linear operators with an arbitrary spectrum

Functional Analysis 2021-07-26 v2 Spectral Theory

Abstract

We furnish a simple way of constructing an unbounded closed linear operator in a complex Banach space, whose spectrum is an arbitrary nonempty closed, in particular compact, subset of the complex plane.

Keywords

Cite

@article{arxiv.2107.09638,
  title  = {An observation on unbounded linear operators with an arbitrary spectrum},
  author = {Marat V. Markin},
  journal= {arXiv preprint arXiv:2107.09638},
  year   = {2021}
}

Comments

Minor readability improvements, fixed typos

R2 v1 2026-06-24T04:22:17.574Z