English

Chernoff Like Counterexamples Related to Unbounded Operators

Functional Analysis 2018-08-31 v2 Operator Algebras

Abstract

In this paper, we give an example of a closed unbounded operator whose square's domain and adjoint's square domain are equal and trivial. Then, we come up with an essentially self-adjoint whose square has a trivial domain.

Cite

@article{arxiv.1808.09523,
  title  = {Chernoff Like Counterexamples Related to Unbounded Operators},
  author = {Souheyb Dehimi and Mohammed Hichem Mortad},
  journal= {arXiv preprint arXiv:1808.09523},
  year   = {2018}
}

Comments

04 pages

R2 v1 2026-06-23T03:47:04.941Z