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Analysis defines and characterizes (n,ε)-pseudospectra in unital complex Banach algebras, suggesting new insights.
As a continuation of the paper J. Math. Anal. Appl. 464(2018), 939-954. We will define and examine the (n,ε)-pseudospectra and condition (n,ε)-pseudospectra of an element pencil in a unital complex Banach algebra. We characterize the (n,ε)-pseudospectra of an element pencil in a unital complex Banach algebra. In particular, we demonstrate some properties of (n,ε)-pseudospectra and condition (n,ε)-pseudospectra of an element pencil in unital complex Banach algebras.
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Jawad Ettayb (2025) studied this question.
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