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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 2

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

Pembe Ipek Al
Zameddin I. Ismailov
Sayfa
433–443
Yayın Tarihi
2022-10-18
DOI
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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$-essential pseudospectral radius of the diagonal block operator matrices in the direct sum of Banach spaces and their block coordinate operators are studied.
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Sonuç & Katkı:Then, the results are supported by applications.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$ 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., Ismailov, Z. I. (2022). $S$-spectra and $S$-essential pseudospectra of the diagonal block operator matrices. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 2, 433–443. https://ajindex.com/articles/529547

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Kaynakça (17)

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