Scholarlink

<p>In the framework of semi-Hilbertian space, several <i>A</i>-numerical radius inequalities are proved in this paper. These conclusions are based on an extension of the <i>A</i>-Buzano inequality for elements in a semi-Hilbertian space and extend earlier <i>A</i>-numerical radius inequalities. For several families of bounded linear operators defined on <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\displaystyle \mathscr {H}\)</EquationSource> </InlineEquation>, we mainly develop expansions of this basic inequality. In addition, several new inequalities concerning the <i>A</i>-numerical radius and <i>A</i>-norm of an operator are constructed.</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

New estimates for A-numerical radius in semi-Hilbertian space operators based on an extension of A-Buzano inequality

  • 期刊论文

  • 发表日期：

    2025年10月23日

查看全文
  • M. H. M. Rashid

摘要

In the framework of semi-Hilbertian space, several A-numerical radius inequalities are proved in this paper. These conclusions are based on an extension of the A-Buzano inequality for elements in a semi-Hilbertian space and extend earlier A-numerical radius inequalities. For several families of bounded linear operators defined on \(\displaystyle \mathscr {H}\) , we mainly develop expansions of this basic inequality. In addition, several new inequalities concerning the A-numerical radius and A-norm of an operator are constructed.