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Cohomology of operator algebras II. Extended cobounding and the hyperfinite case

✍ Scribed by Richard V. Kadison; John R. Ringrose


Book ID
111691461
Publisher
Springer Netherlands
Year
1971
Tongue
English
Weight
463 KB
Volume
9
Category
Article
ISSN
0004-2080

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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