Generalized property ( ω') of finite rank perturbations of operators
Jun Liu · Journal of the Graduate School of the Chinese Academy of Sciences · 2011
We define the generalized property(ω'),a variant of Weyl's theorem.By means of the new spectrum defined in view of the property of consistency in Fredholm and index,we consider the preservation of generalized property(ω') under a finite rank perturbation commuting with T,whenever T is a-isoloid.The theory is illustrated in the case of some special classes of operators.