CONTINUITY OF SPECTRA AND COMPACT PERTURBATIONS

Title & Authors
CONTINUITY OF SPECTRA AND COMPACT PERTURBATIONS

Abstract
In this note we give conditions for continuity of spectrum, approximative point spectrum and defect spectrum on the set $\small{\{T\}+\mathcal{K}(X)}$, where $\small{T{\in}\mathcal{B}(X)}$ and $\small{\mathcal{K}(X)}$ is the set of compact operators.
Keywords
The continuity of the spectrum;
Language
English
Cited by
1.
Continuity and Invariance of the Sacker–Sell Spectrum, Journal of Dynamics and Differential Equations, 2016, 28, 2, 533
2.
Spectral continuity using ν -convergence, Journal of Mathematical Analysis and Applications, 2016, 433, 1, 405
3.
The perturbation classes problem for generalized Drazin invertible operators I, Rendiconti del Circolo Matematico di Palermo (1952 -), 2017
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