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<p>This paper presents a study of the generalized Davis–Wielandt radius of Hilbert space operators. New sharp lower bounds and improvements for both the generalized Davis–Wielandt radius and the numerical radius are established, supported by illustrative examples. In addition, an alternative form of the triangle inequality for operators is derived.</p>

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Some sharp bounds for the generalized Davis–Wielandt radius

  • 期刊论文

  • 发表日期：

    2026年2月23日

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  • Mehdi Naimi,
  • Mohammed Benharrat,
  • Faouzi Hireche

摘要

This paper presents a study of the generalized Davis–Wielandt radius of Hilbert space operators. New sharp lower bounds and improvements for both the generalized Davis–Wielandt radius and the numerical radius are established, supported by illustrative examples. In addition, an alternative form of the triangle inequality for operators is derived.