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<p>This paper presents novel methods for establishing Berezin number inequalities in the context of semi-Hilbert space operators. By integrating contemporary techniques from operator theory and functional analysis, we derive new inequalities for the <i>g</i>-generalized Eucliden <i>A</i>-Berezin number that reflect the intrinsic characteristics of semi-Hilbert space operators. These advancements provide a deeper comprehension of the Berezin number and its applications, offering significant improvements over traditional approaches.</p>

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Exploring Generalized Berezin Number Inequalities in Semi-Hilbert Spaces

  • 期刊论文

  • 发表日期：

    2026年1月24日

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  • Mojtaba Bakherad,
  • Fuad Kittaneh,
  • Nooshin Eslami Mahdiabadi

摘要

This paper presents novel methods for establishing Berezin number inequalities in the context of semi-Hilbert space operators. By integrating contemporary techniques from operator theory and functional analysis, we derive new inequalities for the g-generalized Eucliden A-Berezin number that reflect the intrinsic characteristics of semi-Hilbert space operators. These advancements provide a deeper comprehension of the Berezin number and its applications, offering significant improvements over traditional approaches.