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arXiv · 1804.04200

On power bounded operators that are quasiaffine tranforms of singular unitaries

Maria F. Gamal'
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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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Maria F. Gamal'. 2018-04-11. On power bounded operators that are quasiaffine tranforms of singular unitaries. https://arxiv.org/abs/1804.04200

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