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Connections between Deddens algebras and extended eigenvectors

✍ Scribed by M. Gürdal


Book ID
110149967
Publisher
SP MAIK Nauka/Interperiodica
Year
2011
Tongue
English
Weight
543 KB
Volume
90
Category
Article
ISSN
0001-4346

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On the extended eigenvalues and extended
✍ M. Gürdal 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 277 KB

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 λ is called an extended eigenvalue of S if there exists a nonzero operator A satisfying the equation AS = λSA. We prove that the set of