摘要
本文证明了拟相似的N重单射双边加权m次移位有相同的本质谱,拟相似的N重单射单边加权m次移位是相似的.此外还给出了单射双边加权二次移位拟相似的一个充要条件.
In this article, We show that quasisimilar injective bilateral weighted' shifts of multiplicity N and degree m have equal essential spectra and show that quasisimilar injective unilateral weighted shifts of multiplicity N and degree m are similar. It is also gived that necessary and sufficient conditions for two injective bilateral weighted shifts of degree 2 to be quasisimilar.
基金
福建省自然科学基金资助项目