Abstract
Our main goal in this chapter consists of computing the spectrum of the class of bounded linear operators, \( A = D + F \) where D is a diagonal operator and F is a finite rank operator. In order to achieve that, we will make extensive use of the theory of Fredholm operators and the notion of essential spectrum. A few illustrative examples will be discussed at the end of the end of this chapter. Here, we mainly follow Diagana et al. [18].
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Diagana, T., Ramaroson, F. (2016). Spectral Theory for Perturbations of Bounded Diagonal Linear Operators. In: Non-Archimedean Operator Theory. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-27323-5_5
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DOI: https://doi.org/10.1007/978-3-319-27323-5_5
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