We introduce structured condition pseudospectra in bounded linear operators, suggesting new characterizations for ultrametric Banach spaces.
In this paper, we introduce and study the structured condition pseudospectra and the structured essential condition pseudospectra of bounded linear operators on ultrametric Banach spaces. We establish a characterization of the structured condition pseudospectrum of continuous linear operators and we give a relationship between the structured condition pseudospectrum and the structured pseudospectrum of continuous linear operators on ultrametric Banach spaces. Many characterizations of the structured essential condition pseudospectrum of bounded linear operators and examples are given.
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Jawad Ettayb (2025) studied this question.
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