English

Harnack parts for some truncated shifts

Functional Analysis 2019-12-10 v1

Abstract

The purpose of this paper is to analysis the Harnack part of some truncated shifts whose ρ\rho-numerical radius equal one in the finite dimensional case. As pointed out in Theorem 1.17 [12], a key point is to describe the null spaces of the ρ\rho-operatorial kernel of these truncated shifts. We establish two fundamental results in this direction and some applications are also given.

Keywords

Cite

@article{arxiv.1912.03913,
  title  = {Harnack parts for some truncated shifts},
  author = {Gilles Cassier and Mohammed Benharrat},
  journal= {arXiv preprint arXiv:1912.03913},
  year   = {2019}
}