Czasopismo
Tytuł artykułu
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Warianty tytułu
Języki publikacji
Abstrakty
We consider the reducibility and unitary equivalence of multiplication operators on the Dirichlet space. We first characterize reducibility of a multiplication operator induced by a finite Blaschke product and, as an application, we show that a multiplication operator induced by a Blaschke product with two zeros is reducible only in an obvious case. Also, we prove that a multiplication operator induced by a multiplier ϕ is unitarily equivalent to a weighted shift of multiplicity 2 if and only if ϕ = λz² for some unimodular constant λ.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
141-156
Opis fizyczny
Daty
wydano
2014
Twórcy
autor
- Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, P.R. China
autor
- Department of Mathematics, Chonnam National University, Gwangju 500-757, Korea
autor
- Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, P.R. China
Bibliografia
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-2-3