【摘要】 在本文,我们得到下列结果 1.设T是完全非正常的协亚正常算子,且具单位延拓性质,假设D=TT~*-T~*T满足:是闭的。若△是闭园盘且△°∩σ(T)≠φ,则存在非零元x∈H使得σT(X)(?)△。 2.设T是θ一类算子,则T有单位延拓性质,若T满足σ(T)∩R′=φ,则谱子空间X_T(δ)是闭的,这里δ是C的闭子集,且T有非平凡的不变子空间。更多还原

【Abstract】 In thisPaPer, webtain the following results. 1. Let T be a completely non -normal cohyponormal operator with the single valued extension property and suppose D = T-T*-T*Tsatisfies: d∈Ru(D)бT(d) is closed. If Δ is a closed disc with Δ°∩б(T)φ, then there is a non-zero vector x∈H such that бT ( x ) Δ.2. Let T be aθ-class operator, then T has the single valued extension property. If T satisfies also б(T)∩|R’=<φ>,? then the spectral subspace XT (δ) is closed for any closed subset δofC, and T has a nontrivial invariant subspace.更多还原