English

Numerical radius inequalities concerning with algebraic norms

Functional Analysis 2019-09-26 v1

Abstract

We give an expression for a generalized numerical radius of Hilbert space operators and then apply it to obtain upper and lower bounds for the generalized numerical radius. We also establish some generalized numerical radius inequalities involving the product of two operators. Applications of our inequalities are also provided.

Keywords

Cite

@article{arxiv.1909.11438,
  title  = {Numerical radius inequalities concerning with algebraic norms},
  author = {A. Zamani and M. S. Moslehian and Q. Xu and C. Fu},
  journal= {arXiv preprint arXiv:1909.11438},
  year   = {2019}
}

Comments

It is submitted on 11-Jul-2019 to a research journal