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http://dx.doi.org/10.4134/BKMS.2011.48.6.1261

CONTINUITY OF SPECTRA AND COMPACT PERTURBATIONS  

Sanchez-Perales, Salvador (Facultad de Ciencias Fisico-Matematicas, BUAP)
Djordjevic, Slavissa V. (Facultad de Ciencias Fisico-Matematicas, BUAP)
Publication Information
Bulletin of the Korean Mathematical Society / v.48, no.6, 2011 , pp. 1261-1270 More about this Journal
Abstract
In this note we give conditions for continuity of spectrum, approximative point spectrum and defect spectrum on the set $\{T\}+\mathcal{K}(X)$, where $T{\in}\mathcal{B}(X)$ and $\mathcal{K}(X)$ is the set of compact operators.
Keywords
The continuity of the spectrum;
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