Turkish Journal of Mathematics
DOI
10.3906/mat-1103-7
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.
Keywords
Weighted Hardy space, multiplication operator, similarity
First Page
596
Last Page
600
Recommended Citation
AHMADI, MASOUMEH FAGHIH and HEDAYATIAN, KARIM
(2012)
"On similarity of powers of shift operators,"
Turkish Journal of Mathematics: Vol. 36:
No.
4, Article 10.
https://doi.org/10.3906/mat-1103-7
Available at:
https://journals.tubitak.gov.tr/math/vol36/iss4/10
