Characterization of the pseudospectrum of a compact operator
DOI:
https://doi.org/10.2298/FIL2609287AKeywords:
pseudospectrum, compact operator, norm attaining operatorAbstract
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.