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On power bounded operators that are quasiaffine tranforms of singular unitaries (1804.04200v1)

Published 11 Apr 2018 in math.FA

Abstract: 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.

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