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Further bounds on $q$-numerical radius of Hilbert space operators

Functional Analysis 2025-02-07 v1

Abstract

In this article, we developed a series of new inequalities involving the qq-numerical radius for operators and 2×22\times 2 operator matrices. These inequalities serve to establish both lower and upper bounds for the qq-numerical radius of operators. Additionally, we established qq-numerical radius inequalities for operators via Buzano inequality.

Cite

@article{arxiv.2502.04096,
  title  = {Further bounds on $q$-numerical radius of Hilbert space operators},
  author = {Satyajit Sahoo and Nirmal Chandra Rout},
  journal= {arXiv preprint arXiv:2502.04096},
  year   = {2025}
}

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23 pages