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Dergiler / 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
Sayfa
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Yayın Tarihi
2019-08-01
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Then, the results are supported by applications.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, the boundedness and compactness properties of infinite tridiagonal block operator matrices in the direct sum of Hilbert spaces are studied.
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Temel Bulgular & Veri:The necessary and sufficient conditions for these operators belong to Schatten-von Neumann class are given.
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Sonuç & Katkı:Then, the results are supported by applications.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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