加权N移位的谱理论  

Spectral Theory of Weighted N Shifts

作　　者：吕方[1] 

机构地区：[1]辽宁大学数学系

出　　处：《辽宁大学学报（自然科学版）》1991年第2期32-38,共7页Journal of Liaoning University：Natural Sciences Edition

摘　　要：本文在〔1〕的基础上进一步研究了加权N移位算子的各种谱分解性质,其主要结果是:(1)我们给出了加权N移位算子T和它的共轭算子T~*具有单值扩张性的几个充要条件;(2)对于加权N移位算子的局部谱,我们给出了一个估计式;(3)对于可分解加权N移位算子,我们给出了一系列等价命题。On the basis of reference 〔1〕some spectral decomposition properties of weighted N shift operators were studied. The main results are that (1) For weighted N shift operators and their adjoint operators we give several sufficient and necessary conditions for them to have the single valued extension property; (2) We give an estimating formula for local spectrums of weighted N shift operators; (3) We give several equivalent conditions for decomposable weighted N shift operators.

关 键 词：加权N移位 算子 局部谱 希氏空间 

分 类 号：O177.1[理学—数学]