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Open Access Published by De Gruyter Open Access July 29, 2013

On extended eigenvalues and extended eigenvectors of truncated shift

Hasan Alkanjo EMAIL logo
From the journal Concrete Operators


In this paper we consider the truncated shift operator Su on the model space K2u := H2 θ uH2. We say that a complex number λ is an extended eigenvalue of Su if there exists a nonzero operator X, called extended eigenvector associated to λ, and satisfying the equation SuX = λXSu. We give a complete description of the set of extended eigenvectors of Su, in the case of u is a Blaschke product..


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Received: 2013-02-20
Accepted: 2013-07-18
Published Online: 2013-07-29

©2013 Versita Sp. z o.o.

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