Perturbation properties of some classes of operators

Let X be a complex Banach space and L(X) the Banach algebra of all bounded linear operators on X. We consider the following classes of operators: D(X) = {T ∈ L(X) : T(X) is closed and N(T) ⊆ S ∞ n=1 T n(X)}, S(X) = {T ∈ D(X) : T is relatively regular}. We determine the interior points of D(X) and...

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Bibliographic Details
Main Author: C. SCHMOEGER
Format: Article
Language:English
Published: Sapienza Università Editrice 1994-04-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(3)/533-541.pdf