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Connections between Deddens algebras and extended eigenvectors

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dc.creator Gurdal, Mehmet
dc.date 2011-07-31T21:00:00Z
dc.date.accessioned 2020-10-06T09:26:53Z
dc.date.available 2020-10-06T09:26:53Z
dc.identifier 14ade93b-8a62-4d9e-bb0f-e6a493713d1f
dc.identifier 10.1134/s0001434611070054
dc.identifier https://avesis.sdu.edu.tr/publication/details/14ade93b-8a62-4d9e-bb0f-e6a493713d1f/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/53941
dc.description A complex number. is called an extended eigenvalue of the shift operator S, Sf = zf, on the disc algebra C(A)(D) if there exists a nonzero operator A: C(A)(D) -> C(A)(D) satisfying the equation AS = lambda SA. We describe the set of all extended eigenvectors of S in terms of multiplication operators and composition operators. It is shown that there are connections between the Deddens algebra associated with S and the extended eigenvectors of S.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Connections between Deddens algebras and extended eigenvectors
dc.type info:eu-repo/semantics/article


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