Abstract

Let M_z and B denote, respectively, the multiplication operator and the backward shift operator on a weighted Hardy space. We present sufficient conditions so that M_{z^n} is similar to \bigoplus_1^nM_z, and B^n is similar to \bigoplus_1^nB. The first part generalizes a result obtained by Yucheng Li.

DOI

10.3906/mat-1103-7

Keywords

Weighted Hardy space, multiplication operator, similarity

First Page

596

Last Page

600

Recommended Citation

AHMADI, M. F, & HEDAYATIAN, K (2012). On similarity of powers of shift operators. Turkish Journal of Mathematics 36 (4): 596-600. https://doi.org/10.3906/mat-1103-7

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