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<p>This article establishes new upper bounds for the weighted Berezin number of operator matrices. Specifically, we present novel inequalities for the weighted Berezin number of <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(2\times 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2</mn> <mo>×</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> off-diagonal block operators. Additionally, we discuss several related results.</p>

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Weighted Berezin number inequalities for \(2\times 2\) operator matrices

  • 期刊论文

  • 发表日期：

    2025年10月13日

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  • Messaoud Guesba,
  • Somdatta Barik,
  • Kallol Paul

摘要

This article establishes new upper bounds for the weighted Berezin number of operator matrices. Specifically, we present novel inequalities for the weighted Berezin number of \(2\times 2\) 2 × 2 off-diagonal block operators. Additionally, we discuss several related results.