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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

Schatten-von Neumann characteristic of infinite tridiagonal block operator matrices

Pembe Ipek Al(Karadeniz Technical University)0000-0002-6111-1121
Zameddin Ismailov(Karadeniz Technical University)0000-0001-5193-5349
Pages
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Publication Date
2019-08-01
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Then, the results are supported by applications.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the boundedness and compactness properties of infinite tridiagonal block operator matrices in the direct sum of Hilbert spaces are studied.
📊
Key Findings & Data:The necessary and sufficient conditions for these operators belong to Schatten-von Neumann class are given.
💡
Conclusion & Impact:Then, the results are supported by applications.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Direct sum of Hilbert spaces · infinite tridiagonal block operator matrices · compact operator

Abstract

In this paper, the boundedness and compactness properties of infinite tridiagonal block operator matrices in the direct sum of Hilbert spaces are studied. The necessary and sufficient conditions for these operators belong to Schatten-von Neumann class are given. Then, the results are supported by applications.

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Cite This Article

Al, P. I., Ismailov, Z. (2019). Schatten-von Neumann characteristic of infinite tridiagonal block operator matrices. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.474512

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