On the radicals of algebras generated by a contraction

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Mustafaev H.

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, vol.44, no.3, pp.226-229, 2010 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 44 Issue: 3
• Publication Date: 2010
• Doi Number: 10.1007/s10688-010-0030-1
• Journal Name: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.226-229
• Van Yüzüncü Yıl University Affiliated: Yes

Abstract

Let T be a contraction on a Banach space, and let A (T) (W (T)) be the closure in the uniform (respectively, in the weak) operator topology of the set of all polynomials in T. The asymptotic behavior of the radicals of the algebras A (T) and W (T) is studied.