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<p>We obtain several Berezin number inequalities for the Kronecker product <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(A\otimes B\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>A</mi> <mo>⊗</mo> <mi>B</mi> </mrow> </math></EquationSource> </InlineEquation>, where <i>A</i> is an <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(n\times n\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>n</mi> <mo>×</mo> <mi>n</mi> </mrow> </math></EquationSource> </InlineEquation> complex matrix and <i>B</i> is a bounded linear operator on a reproducing kernel Hilbert space. These results generalize and improve some existing results.</p>

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Berezin number inequalities for Kronecker products

  • 期刊论文

  • 发表日期：

    2026年4月11日

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  • Messaoud Guesba,
  • Raj Kumar Nayak,
  • Pintu Bhunia

摘要

We obtain several Berezin number inequalities for the Kronecker product \(A\otimes B\) A ⊗ B , where A is an \(n\times n\) n × n complex matrix and B is a bounded linear operator on a reproducing kernel Hilbert space. These results generalize and improve some existing results.