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Dergiler / 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
Sayfa
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Yayın Tarihi
2024-04-30
DOI
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In the end, two general results are proved.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:Firstly, these evaluations are made for the polynomial functions of the linear bounded Hilbert space operator.
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Sonuç & Katkı:In the end, two general results are proved.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (13)

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