考虑Weyl定理的一种变型——广义Weyl定理,通过定义一种新谱集,利用该谱集给出算子T及其函数演算满足广义Weyl定理的充要条件,得到了算子T及其函数满足广义Weyl定理的新判别方法.%We considered a variant of the Weyl's theorem:the generalized Weyl's theorem.By defining a new spectral set,we gave sufficient and necessary conditions for the operator T and its functional calculus to satisfy the generalized Weyl's theorem by using the spectral set.We obtained a new discriminant for T and its functional calculus to satisfy the generalized Weyl's theorem.
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