多重加权移位算子的谱图形、C_(αβ)分类和弱压缩性

Spectral Picture, C_(αβ) Classification and Weak Contraction Property of Multiple Weighted Shift Operators

本文刻划了复可分Hilbert空间上内射多重加权移位算子的谱图形,讨论了它们的拟三角性质,给出了压缩的内射多重加权移位算子的C_(αβ)分类和多重加权移位算子弱压缩的充要条件。

Spectral picture of multiple weighted shift operators on separable complex Hilbert spaces are first described, then their quasitriangulary properties and C_(αβ) classification of contracted multiple weighted shift operators are discussed, and finally the sufficient and necessary condition is given for multiple weighted shift operators to be weak contraction.