On similarity of powers of shift operators

Authors : Masoumeh FAGHIH AHMADI, Karim HEDAYATIAN

Pages : 596-600

View : 13 | Download : 9

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Let Mz and B denote, respectively, the multiplication operator and the backward shift operator on a weighted Hardy space. We present sufficient conditions so that Mzn is similar to \bigoplus1nMz, and Bn is similar to \bigoplus1nB. The first part generalizes a result obtained by Yucheng Li.
Keywords : Weighted Hardy space, multiplication operator, similarity