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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 12 Issue: 1

Operator Norm-Numerical Radius Gaps for Analytic Function of Hilbert Space Operators

Pembe Ipek Al(KARADENIZ TECHNICAL UNIVERSITY)0000-0002-6111-1121
Rukiye Öztürk Mert(HITIT UNIVERSITY)0000-0001-8083-5304
Zameddin İsmailov(KARADENIZ TECHNICAL UNIVERSITY)0000-0001-5193-5349
Pages
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Publication Date
2024-04-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In the end, two general results are proved.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, some estimates are obtained by means of the number of differences between the operator norm of the analytic functions of the linear bounded Hilbert space operator and the numerical radius, and the difference numbers of the powers of the corresponding Hilbert space operators.
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Key Findings & Data:Firstly, these evaluations are made for the polynomial functions of the linear bounded Hilbert space operator.
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Conclusion & Impact:In the end, two general results are proved.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic functions of operator · Numerical radius · Operator norm

Abstract

In this study, some estimates are obtained by means of the number of differences between the operator norm of the analytic functions of the linear bounded Hilbert space operator and the numerical radius, and the difference numbers of the powers of the corresponding Hilbert space operators. Firstly, these evaluations are made for the polynomial functions of the linear bounded Hilbert space operator. Later, this topic is generalized for the analytical functions of the linear bounded Hilbert space operator. In the end, two general results are proved.

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Cite This Article

Al, P. I., Mert, R. Ö., İsmailov, Z. (2024). Operator Norm-Numerical Radius Gaps for Analytic Function of Hilbert Space Operators. Konuralp Journal of Mathematics, Volume: 12 Issue: 1. https://ajindex.com/articles/1521506

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