English

A note on positive $\mathcal{AN}$ operators

Functional Analysis 2019-07-10 v1

Abstract

We show that positive absolutely norm attaining operators can be characterized by a simple property of their spectra. This result clarifies and simplifies a result of Ramesh. As an application we characterize weighted shift operators which are absolutely norm attaining.

Keywords

Cite

@article{arxiv.1810.08286,
  title  = {A note on positive $\mathcal{AN}$ operators},
  author = {Ian Doust},
  journal= {arXiv preprint arXiv:1810.08286},
  year   = {2019}
}

Comments

2 pages

R2 v1 2026-06-23T04:45:12.945Z