English

Norm and numerical radius inequalities for operator matrices

Functional Analysis 2022-06-28 v1

Abstract

Operator matrices have played a significant role in studying Hilbert space operators. In this paper, we discuss further properties of operator matrices and present new estimates for the operator norms and numerical radii of such operators. Moreover, operator matrices whose real and imaginary parts are positive will be discussed, and sharper bounds will be shown for such class.

Keywords

Cite

@article{arxiv.2206.12966,
  title  = {Norm and numerical radius inequalities for operator matrices},
  author = {Fuad Kittaneh and Hamid Reza Moradi and Mohammad Sababheh},
  journal= {arXiv preprint arXiv:2206.12966},
  year   = {2022}
}
R2 v1 2026-06-24T12:04:34.144Z