代数拟-A类算子的谱性质
The Spectrum Properties of Algebraically Quasi-A Operators
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摘要: 证明了若T是代数拟-A类算子,则广义Weyl定理对f(T)成立,其中f∈H(σ(T)),且T的B-Weyl谱满足谱映射定理.若T*是代数拟-A类算子,则广义a-Weyl定理对T成立Abstract: It was proved that if T is an algebraically quasi-A operators,then the generalized Weyl’s theorem holds for f(T) where f∈H(σ(T)),and the B-Weyl spectrum of T satisfies the spectral mapping theorem.If T* is an algebraically quasi-A operators,then the generalized a-Weyl’s theorem holds for T.
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