Judgement for the property(ω′) and the generalized property(ω′)
Xiaohong Cao · Journal of Shandong University · 2012
The property(ω′) and the generalized property(ω′) are variants of Weyl′s theorem.The sufficient and necessary conditions are established for which the property(ω′) and the generalized property(ω′)for T and perturbations by power finite rank operators commuting with T by means of a new spectrum defined on a bounded linear operator T acting on a Hilbert space by the essential spectrum,single-valued extension property and the operator of consistence in Fredholm and index.