New upper bounds for the $q$-numerical radius of Hilbert space operators

Arnab Patra; Falguni Roy

New upper bounds for the $q$-numerical radius of Hilbert space operators

Functional Analysis 2023-06-08 v1

Authors: Arnab Patra , Falguni Roy

Abstract

This article introduces several new upper bounds for the $q$ -numerical radius of bounded linear operators on complex Hilbert spaces. Our results refine some of the existing upper bounds in this field. The $q$ -numerical radius inequalities of products and commutators of operators follow as special cases. Finally, some new inequalities for the $q$ -numerical radius of $2 \times 2$ operator matrices are established.

Keywords

q-numerical radius hilbert space operators upper bounds operator matrices commutators bounded linear operators

Cite

@article{arxiv.2306.04296,
  title  = {New upper bounds for the $q$-numerical radius of Hilbert space operators},
  author = {Arnab Patra and Falguni Roy},
  journal= {arXiv preprint arXiv:2306.04296},
  year   = {2023}
}

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20 pages

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