<p>In this paper, we provide new bounds for the Berezin number of <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44146_2025_209_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="39" /> </InlineMediaObject> <EquationSource Format="TEX">\(2\times 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2</mn> <mo>×</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> operator matrices and we improve and generalize some existing ones. Some other related results are also presented.</p>

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Sharp bounds for the Berezin number of \(2\times 2\) operator matrices with applications

  • Messaoud Guesba,
  • Cristian Conde

摘要

In this paper, we provide new bounds for the Berezin number of \(2\times 2\) 2 × 2 operator matrices and we improve and generalize some existing ones. Some other related results are also presented.