On extended eigenvalues and extended eigenvectors of truncated shift
Hasan Alkanjo
Concrete Operators, Tome 1 (2013), p. 19-27 / Harvested from The Polish Digital Mathematics Library
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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..

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:266777 
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     author = {Hasan Alkanjo},
     title = {On extended eigenvalues and extended eigenvectors of truncated shift},
     journal = {Concrete Operators},
     volume = {1},
     year = {2013},
     pages = {19-27},
     zbl = {1290.47028},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_conop-2012-0003}
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Hasan Alkanjo. On extended eigenvalues and extended eigenvectors of truncated shift. Concrete Operators, Tome 1 (2013) pp. 19-27. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_conop-2012-0003/

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