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<p>We obtain several lower bounds for algebraic numerical radius based on the two equations using Cartesian decomposition, which improve some existing bounds. Further we obtain some upper bounds for algebraic numerical radius refining the well-known estimates.</p>

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Cartesian Decomposition and Numerical Radius of \(C^*\)-algebras

  • 期刊论文

  • 发表日期：

    2025年12月20日

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  • Yueyang Chen,
  • Yueliang Liang,
  • Botao Long

摘要

We obtain several lower bounds for algebraic numerical radius based on the two equations using Cartesian decomposition, which improve some existing bounds. Further we obtain some upper bounds for algebraic numerical radius refining the well-known estimates.