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<p>We study Berezin number inequalities for reproducing kernel Hilbert space operators, which refine the earlier related inequalities. In particular, we deduce several improved lower and upper bounds. Furthermore, we obtain Berezin number inequalities for the sums and products of two operators.</p>

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Refinements of Berezin Number Inequalities

  • 期刊论文

  • 发表日期：

    2026年3月8日

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  • Raj Kumar Nayak,
  • Pintu Bhunia

摘要

We study Berezin number inequalities for reproducing kernel Hilbert space operators, which refine the earlier related inequalities. In particular, we deduce several improved lower and upper bounds. Furthermore, we obtain Berezin number inequalities for the sums and products of two operators.