Local Spectral Theory for Operators R and S Satisfying RSR = R2
Keywords:
Local spectral subspace, Dunford’s property (C), operator equationAbstract
We study some local spectral properties for bounded operators R, S, RS and SR in the case that R and S satisfy the operator equation RSR = R2. Among other results, we prove that S, R, SR and RS share Dunford’s property (C) when RSR = R2 and SRS = S2.
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