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Description of extended eigenvalues and extended eigenvectors of integration operators on the Wiener algebra

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dc.creator Gurdal, Mehmet
dc.date 2008-12-31T22:00:00Z
dc.date.accessioned 2020-10-06T09:29:39Z
dc.date.available 2020-10-06T09:29:39Z
dc.identifier 1d128a4c-3a18-4aea-939c-96bb6ea34f5b
dc.identifier 10.1016/j.exmath.2008.10.006
dc.identifier https://avesis.sdu.edu.tr/publication/details/1d128a4c-3a18-4aea-939c-96bb6ea34f5b/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/54793
dc.description In the present paper we consider the Volterra integration operator V on the Wiener algebra W(D) of analytic functions on the unit disc B of the complex plane C. A complex number A is called an extended eigenvalue of V if there exists a nonzero operator A satisfying the equation A V = lambda VA. We prove that the set of all extended eigenvalues of V is precisely the set C\{0}, and describe in terms of Duhamel operators and composition operators the set of corresponding extended eigenvectors of V. The similar result for some weighted shift operator on l(p) spaces is also obtained. (C) 2008 Elsevier GmbH. All rights reserved.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Description of extended eigenvalues and extended eigenvectors of integration operators on the Wiener algebra
dc.type info:eu-repo/semantics/article


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