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

Fuente: arXiv
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Autores principales: Sahoo, Satyajit, Rout, Nirmal Chandra
Formato: Preprint
Publicado: 2025
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author Sahoo, Satyajit
Rout, Nirmal Chandra
author_facet Sahoo, Satyajit
Rout, Nirmal Chandra
contents In this article, we developed a series of new inequalities involving the $q$-numerical radius for operators and $2\times 2$ operator matrices. These inequalities serve to establish both lower and upper bounds for the $q$-numerical radius of operators. Additionally, we established $q$-numerical radius inequalities for operators via Buzano inequality.
format Preprint
id arxiv_https___arxiv_org_abs_2502_04096
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Further bounds on $q$-numerical radius of Hilbert space operators
Sahoo, Satyajit
Rout, Nirmal Chandra
Functional Analysis
47A12, 47A30, 15A60, 47A63
In this article, we developed a series of new inequalities involving the $q$-numerical radius for operators and $2\times 2$ operator matrices. These inequalities serve to establish both lower and upper bounds for the $q$-numerical radius of operators. Additionally, we established $q$-numerical radius inequalities for operators via Buzano inequality.
title Further bounds on $q$-numerical radius of Hilbert space operators
topic Functional Analysis
47A12, 47A30, 15A60, 47A63
url https://arxiv.org/abs/2502.04096