Local Spectral Properties under Perturbations
Received:May 09, 2014  Revised:October 13, 2014
Key Words: Local spectral property   perturbation   algebraic operator  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11401097; 11171066; 11201071; 11301077; 11301078).
Author NameAffiliation
Qingping ZENG College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fujian 350002, P. R. China 
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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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