| Local Spectral Properties under Perturbations |
| Received:May 09, 2014 Revised:October 13, 2014 |
| Key Words:
Local spectral property perturbation algebraic operator
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11401097; 11171066; 11201071; 11301077; 11301078). |
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| Abstract: |
| It is shown that local spectral properties such as the single-valued extension property, Dunford's property $(C)$, Bishop's property $(\beta)$, the decomposition property $(\delta)$, or decomposability are stable under commuting perturbations whose spectra are finite. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2015.02.011 |
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