Title of article :
On similarity of powers of shift operators
Author/Authors :
Faghih Ahmadi, Masoumeh shiraz university - College of Sciences - Department of Mathematics, شيراز, ايران , Hedayatian, Karim shiraz university - College of Sciences - Department of Mathematics, شيراز, ايران
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
