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Bull. Korean Math. Soc. 2011; 48(6): 1261-1270

Printed November 1, 2011

https://doi.org/10.4134/BKMS.2011.48.6.1261

Copyright © The Korean Mathematical Society.

Continuity of spectra and compact perturbations

Salvador S\'anchez-Perales and Slavi\v{s}a V. Djordjevi\'c

BUAP, BUAP

Abstract

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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

MSC numbers: 47A10, 47A53

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