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<p>In this paper, we present several weighted Hilbert-Schmidt numerical radius inequalities for <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(2\times 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2</mn> <mo>×</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> operator matrices. In particular, we obtain some new upper and lower bounds for the weighted Hilbert-Schmidt numerical radii of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(2\times 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2</mn> <mo>×</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> operator matrices.</p>

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Weighted Hilbert-Schmidt Numerical Radius Inequalities for \(2\times 2\) Operator Matrices

  • 期刊论文

  • 发表日期：

    2025年11月13日

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  • Messaoud Guesba,
  • Fuad Kittaneh

摘要

In this paper, we present several weighted Hilbert-Schmidt numerical radius inequalities for \(2\times 2\) 2 × 2 operator matrices. In particular, we obtain some new upper and lower bounds for the weighted Hilbert-Schmidt numerical radii of \(2\times 2\) 2 × 2 operator matrices.