English

A Representation of Hyponormal Absolutely Norm Attaining Operators

Functional Analysis 2020-12-14 v2

Abstract

In this article, we characterize absolutely norm attaining normal operators in terms of the essential spectrum. Later we prove a structure theorem for hyponormal absolutely norm attaining (or AN\mathcal{AN}-operators in short) and deduce conditions for the normality of the operator.

Keywords

Cite

@article{arxiv.2010.04130,
  title  = {A Representation of Hyponormal Absolutely Norm Attaining Operators},
  author = {Neeru Bala and Ramesh G},
  journal= {arXiv preprint arXiv:2010.04130},
  year   = {2020}
}

Comments

15 Pages, Submitted to Journal. Comments/Suggestions are welcome

R2 v1 2026-06-23T19:10:58.024Z