- Hacettepe Journal of Mathematics and Statistics
- Vol: 50 Issue: 2
- $S$-spectra and $S$-essential pseudospectra of the diagonal block operator matrices
$S$-spectra and $S$-essential pseudospectra of the diagonal block operator matrices
Authors : Pembe Ipek Al, Zameddin Ismailov
Pages : 433-443
Doi:10.15672/hujms.701108
View : 12 | Download : 3
Publication Date : 2021-04-11
Article Type : Research
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 : $ S$-spectrum, $ epsilon$-$S$-essential pseudospectrum, $ S$-spectral radius, $ epsilon$-$S$-essential pseudospectral radius