English

$(\alpha,\beta)$-A-Normal Operators in Semi-Hilbertian Spaces

Functional Analysis 2016-10-12 v1

Abstract

In this paper we introduce and prove some properties of (α;β)(\alpha;\beta)-normal operators according to semi-Hilbertian space structures. Furthermore we s,ate various inequalities between the A-operator norm and A-numerical radius of (α,β)(\alpha,\beta)-normal operators in semi Hilbertian spaces.

Keywords

Cite

@article{arxiv.1610.03462,
  title  = {$(\alpha,\beta)$-A-Normal Operators in Semi-Hilbertian Spaces},
  author = {Abdelkader Benali and Ould Ahmed Mahmoud Sid Ahmed},
  journal= {arXiv preprint arXiv:1610.03462},
  year   = {2016}
}
R2 v1 2026-06-22T16:17:59.726Z