Journals / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 4
On similarity of powers of shift operators
- Pages
- 596–600
- DOI
- —
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.
Özet
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.