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Journals / Black Sea Journal of Engineering and Science / 2026 / Cilt: 9 Sayı: 4

Singular Dirac Operators and Their Spectral Properties

Sevim Durak(SİVAS CUMHURİYET ÜNİVERSİTESİ)0000-0003-2591-4768
Pages
1653–1658
Publication Date
2026-07-15
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AI Summary & Key Takeaways

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

Using this connection, the spectral properties of the singular Dirac operator defined in the study are investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, various properties of integral operator produced by singular Dirac system are learned.
📊
Key Findings & Data:In particular, important properties of singular integral operators generated by matrix functions of bounded variation are analyzed, and the connection of such operators with singular Dirac operators is established.
💡
Conclusion & Impact:Using this connection, the spectral properties of the singular Dirac operator defined in the study are investigated.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Singular Dirac operator · Integral operator · Maximal and minimal operators

Abstract

In this study, various properties of integral operator produced by singular Dirac system are learned. In particular, new results have been obtained regarding this operators set of definitions and values. In this study, first, important properties of kxk dimensional matrix functions are presented. Then, the concept of the Lipschitz condition for matrix functions is defined, and it is examined which properties such functions must satisfy in order to have the Lipschitz condition. In particular, important properties of singular integral operators generated by matrix functions of bounded variation are analyzed, and the connection of such operators with singular Dirac operators is established. Using this connection, the spectral properties of the singular Dirac operator defined in the study are investigated.

Özet

In this study, various properties of integral operator produced by singular Dirac system are learned. In particular, new results have been obtained regarding this operators set of definitions and values. In this study, first, important properties of kxk dimensional matrix functions are presented. Then, the concept of the Lipschitz condition for matrix functions is defined, and it is examined which properties such functions must satisfy in order to have the Lipschitz condition. In particular, important properties of singular integral operators generated by matrix functions of bounded variation are analyzed, and the connection of such operators with singular Dirac operators is established. Using this connection, the spectral properties of the singular Dirac operator defined in the study are investigated.

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Cite This Article

Durak, S. (2026). Singular Dirac Operators and Their Spectral Properties. Black Sea Journal of Engineering and Science, Cilt: 9 Sayı: 4, 1653–1658. https://doi.org/10.34248/bsengineering.1943816

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