研究Hardy空间H^2(Г)上Toeplitz算子Tφ的谱的结构,利用算子谱的精密结构的分析方法,得到Toeplitz算子Tφ的谱σ(Tφ)、本质谱σt(Tφ)、Weyl谱σw(Tφ)、左本质谱σtc(Tφ)、Kato谱σk(Tφ)、值域非闭谱σd(Tφ)、点谱σp(Tφ)等的结构.
Exploring the structure of the spectrum of Toeplitz operator Tφ on Hardy space H^2(Г) , applying the elaborate structure of the spectrum of operators, obtaining the structure of the spectrum σ(Tφ) , the essential spectrum σc(Tφ) , Weyl spectrumσω (Tφ) , the left essential spectrum σt(Tφ) , Kato spectrum σk(Tφ) , non-closed range spectrum σd(Tφ) , the point spectrum, σp(Tφ) and so on of Toeplitz operator Tφ.