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

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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… Click to show full 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.

Keywords: operator matrices; diagonal block; essential pseudospectra; block operator

Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2020

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