Scholarlink

<p>In this paper, we develop novel bounds on the generalized numerical radii of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13398_2025_1784_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="39" /> </InlineMediaObject> <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, extending and refining existing results in the literature. As an application of our findings, we establish new bounds for the so-called <i>p</i>-numerical radius and for the Hilbert–Schmidt numerical radius.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Generalized numerical radius inequalities for Hilbert space operators

  • 期刊论文

  • 发表日期：

    2025年8月18日

查看全文
  • Fuad Kittaneh,
  • Jorge Losada,
  • Bashar Mayyas

摘要

In this paper, we develop novel bounds on the generalized numerical radii of \(2\times 2\) 2 × 2 operator matrices, extending and refining existing results in the literature. As an application of our findings, we establish new bounds for the so-called p-numerical radius and for the Hilbert–Schmidt numerical radius.