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<p>In this paper, some significant bounds are obtained for the numerical radius, <i>a</i>-numerical radius of the sum and product of elements in <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\mathcal {C}^*\)</EquationSource> </InlineEquation>-algebra. The concept of Orlicz functions is used to give some of the inequalities which generalize many well known results.</p>

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On the numerical radius and a-numerical radius inequalities in \(\mathcal {C}^*\)-algebras

  • 期刊论文

  • 发表日期：

    2026年2月9日

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  • Sumon Ghosh,
  • Sarita Ojha,
  • Riddhick Birbonshi

摘要

In this paper, some significant bounds are obtained for the numerical radius, a-numerical radius of the sum and product of elements in \(\mathcal {C}^*\) -algebra. The concept of Orlicz functions is used to give some of the inequalities which generalize many well known results.