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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 50 Issue: 2

$S$-spectra and $S$-essential pseudospectra of the diagonal block operator matrices

Pembe Ipek Al(Karadeniz Technical University)0000-0002-6111-1121
Zameddin İsmailov(Karadeniz Technical University)0000-0001-5193-5349
Sayfa
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Yayın Tarihi
2021-04-11
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Then, the results are supported by applications.

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Amaç & Hipotez:In this article, the relationships between the $S$-spectra, the $ S$-spectral radius, the $ \epsilon$-$S$-essential pseudospectra, and the $ \epsilon$-$S$-essential pseudospectral radius of the diagonal block operator matrices in the direct sum of Banach spaces and their block coordinate operators are studied.
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Temel Bulgular & Veri:In this article, the relationships between the $S$-spectra, the $ S$-spectral radius, the $ \epsilon$-$S$-essential pseudospectra, and the $ \epsilon$-$S$-essential pseudospectral radius of the diagonal block operator matrices in the direct sum of Banach spaces and their block coordinate operators are studied.
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Sonuç & Katkı:Then, the results are supported by applications.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$ S$-spectrum · $ \epsilon$-$S$-essential pseudospectrum · $ S$-spectral radius

Abstract

In this article, the relationships between the $S$-spectra, the $ S$-spectral radius, the $ \epsilon$-$S$-essential pseudospectra, and the $ \epsilon$-$S$-essential pseudospectral radius of the diagonal block operator matrices in the direct sum of Banach spaces and their block coordinate operators are studied. Then, the results are supported by applications.

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Bu Makaleye Atıf Yap

Al, P. I., İsmailov, Z. (2021). $S$-spectra and $S$-essential pseudospectra of the diagonal block operator matrices. Hacettepe Journal of Mathematics and Statistics, Volume: 50 Issue: 2. https://doi.org/10.15672/hujms.701108

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Kaynakça (17)

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