Masoumeh Faghih AHMADİ, Karim HEDAYATİAN

6190

On similarity of powers of shift operators

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.

Anahtar Kelimeler:

Weighted Hardy space, multiplication operator, similarity

On similarity of powers of shift operators

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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