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<p>This article explores further properties and inequalities satisfied by the numerical radius of a Hilbert space operator, through a newly defined numerical radius. In particular, new identities for the numerical radius, further comparisons between the numerical radius and the norm of real and imaginary parts, and some inequalities for sectorial operators will be presented.</p>

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Some weighted numerical radius inequalities

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • Cristian Conde,
  • Hamid Reza Moradi,
  • Mohammad Sababheh

摘要

This article explores further properties and inequalities satisfied by the numerical radius of a Hilbert space operator, through a newly defined numerical radius. In particular, new identities for the numerical radius, further comparisons between the numerical radius and the norm of real and imaginary parts, and some inequalities for sectorial operators will be presented.