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On the extended eigenvalues and extended eigenvectors of shift operator on the Wiener algebra

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dc.creator Gurdal, Mehmet
dc.date 2009-10-31T22:00:00Z
dc.date.accessioned 2020-10-06T09:32:47Z
dc.date.available 2020-10-06T09:32:47Z
dc.identifier 2595c151-c3dc-4da7-ad8a-ade318e11cbe
dc.identifier 10.1016/j.aml.2009.06.008
dc.identifier https://avesis.sdu.edu.tr/publication/details/2595c151-c3dc-4da7-ad8a-ade318e11cbe/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/55638
dc.description In the present paper we consider the shift operator S on the Wiener algebra W (D) of analytic functions on the unit disc D of the complex plane C. A complex number lambda is called an extended eigenvalue of S if there exists a nonzero operator A satisfying the equation AS = lambda SA. We prove that the set of all extended eigenvalues of S is precisely the set (D) over bar, and describe in terms of multiplication operators and composition operators the set of all corresponding extended eigenvectors of S. (C) 2009 Elsevier Ltd. All rights reserved.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title On the extended eigenvalues and extended eigenvectors of shift operator on the Wiener algebra
dc.type info:eu-repo/semantics/article


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