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arXiv:1804.04200 [math.FA]AbstractReferencesReviewsResources

On power bounded operators that are quasiaffine tranforms of singular unitaries

Maria F. Gamal'

Published 2018-04-11Version 1

In [9] a question is raised: if a power bounded operator is quasisimilar to a singular unitary operator, is it similar to this unitary operator? For polynomially bounded operators, a positive answer to this question is known [1], [13]. In this paper a positive answer is given in some particular cases, but in general an answer remains unknown.

Comments: Acta Sci. Math. (Szeged), 77(2011), 589-606. A misprint in the formulation of Theorem 2.5 is corrected
Categories: math.FA
Subjects: 47A05, 47B99, 47B15
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