论文标题
基本光谱和正则功能划线的光谱映射定理
Spectral mapping theorems for essential spectra and regularized functional calculi
论文作者
论文摘要
Gramsch and Lay [10] gave spectral mapping theorems for the Dunford-Taylor calculus of a closed linear operator $T$, $$\widetildeσ_i(f(T)) = f(\widetildeσ_i(T)), $$ for several extended essential spectra $\widetildeσ_i$.在这项工作中，我们扩展了Haase [12,13]引入的自然功能演算的这种定理。我们使用双层操作员的模型案例。此处介绍的证据是通用的，并且对类似的功能演算有效。
Gramsch and Lay [10] gave spectral mapping theorems for the Dunford-Taylor calculus of a closed linear operator $T$, $$\widetildeσ_i(f(T)) = f(\widetildeσ_i(T)), $$ for several extended essential spectra $\widetildeσ_i$. In this work, we extend such theorems for the natural functional calculus introduced by Haase [12,13]. We use the model case of bisectorial operators. The proofs presented here are generic, and are valid for similar functional calculus.
