摘要
研究了log-弱亚正规算子T的Riesz幂等元Eλ和T的Aluthge变换T的Riesz幂等元Eλ的性质,其中λ∈isoσ(T)。证明了EλH=EλH,Eλ是自伴算子,Eλ=Eλ和EλH=ker(T-λ)=ker(T-λ),而且证出了Weyl定理对T及f(T),f∈H(σ(T))都适合。
Some characterizations of Riesz idempotent Eλ and Eλ, with respect to λ∈ isoσ（T）, of T and T, respectively are given. It is proved that EλH=EλH, Eλ is the self-adjiont operator, Eλ=Eλ and EλH=ker（T-λ） = ker（T -λ）. Moreover, it is shown that Weyl＇s theorem holds for T and f（T）, f ∈ H（σ（T））.
出处
《唐山师范学院学报》
2010年第5期22-25,共4页
Journal of Tangshan Normal University
