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<p>In this paper, we prove several new bounds for the numerical radius and norm of the sum, product, and sums of products of Hilbert space operators. Some obtained results improve and extend several known bounds from the literature. On the other hand, other results give independent bounds that can be better than the known bounds, as numerical examples show.</p>

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Numerical Radii of Operator Sums and Operator Matrices

  • 期刊论文

  • 发表日期：

    2025年8月18日

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  • Mohammad Sababheh,
  • Hamid Reza Moradi,
  • Satyajit Sahoo

摘要

In this paper, we prove several new bounds for the numerical radius and norm of the sum, product, and sums of products of Hilbert space operators. Some obtained results improve and extend several known bounds from the literature. On the other hand, other results give independent bounds that can be better than the known bounds, as numerical examples show.