Characterization of the pseudospectrum of a compact operator

Authors

  • Anouer Ben Ali faculty of sciences of sfax. Author

DOI:

https://doi.org/10.2298/FIL2609287A

Keywords:

pseudospectrum, compact operator, norm attaining operator

Abstract

We say that a complex Banach space X belongs to the class W if for any compact operator A defined on X such that ||I +A || > 1, I +A attains norm. In this article, we characterize the pseudospectrum of any compact linear operator defined on X where X is Banach space which belongs to class W.

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Published

2026-04-15

Issue

Section

Articles