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On the eigenvectors and eigenvalues of an operator pair

✍ Scribed by A. F. Kalaida


Publisher
Springer US
Year
1994
Tongue
English
Weight
287 KB
Volume
68
Category
Article
ISSN
1573-8795

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On the extended eigenvalues and extended
✍ M. GΓΌrdal πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 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 Ξ» is called an extended eigenvalue of S if there exists a nonzero operator A satisfying the equation AS = Ξ»SA. We prove that the set of