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,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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