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<p>We present some weighted norm inequalities of bounded adjointable operators on the Hilbert C*-modules.&#xa0;Further,&#xa0;we use the Cartesian decomposition to obtain the lower bounds of numerical radius inequality over Hilbert C*-module.&#xa0;And the existing inequalities of numerical radius on the Hilbert C*-modules are refined.</p>

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Some weighted norm inequalities for Hilbert C*-modules

  • 期刊论文

  • 发表日期：

    2025年1月13日

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  • Jing Liu,
  • Deyu Wu,
  • Alatancang Chen

摘要

We present some weighted norm inequalities of bounded adjointable operators on the Hilbert C*-modules. Further, we use the Cartesian decomposition to obtain the lower bounds of numerical radius inequality over Hilbert C*-module. And the existing inequalities of numerical radius on the Hilbert C*-modules are refined.