Quasisimilarify of Weighted Shifts of Multiplicity N and Degreem

Abstract:

      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.