Abstract:
We introduce and study the structured pseudospectrum and the essential pseudospectrum of closed linear operator pencils on ultrametric Banach spaces. We establish a characterization of the structured pseudospectrum of closed linear operator pencils and relationship between the structured pseudospectrum and the structured pseudospectrum of closed linear operator pencils on ultrametric Banach spaces. Many characterizations of structured essential pseudospectra of operators, such as the structured essential pseudospectrum of closed linear operator pencils, is invariant under perturbation of completely continuous linear operators on ultrametric Banach spaces over Qp. Finally, we give some illustrative examples.
Keywords:ultrametric Banach spaces, pseudospectra, closed Fredholm operators, closed linear operators
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