English

A note on the maximal numerical range

Functional Analysis 2018-03-29 v1

Abstract

We show that the maximal numerical range of an operator has a non-empty intersection with the boundary of its numerical range if and only if the operator is normaloid. A description of this intersection is also given.

Keywords

Cite

@article{arxiv.1803.10516,
  title  = {A note on the maximal numerical range},
  author = {Ilya M Spitkovsky},
  journal= {arXiv preprint arXiv:1803.10516},
  year   = {2018}
}

Comments

6 pages

R2 v1 2026-06-23T01:07:31.769Z