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arXiv · 1812.03517

Invertibility of functions of operators and existence of hyperinvariant subspaces

Maria F. Gamal'
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Abstract

Let $T$ be an absolutely continuous polynomially bounded operator, and let $θ$ be a singular inner function. It is shown that if $θ(T)$ is invertible and some additional conditions are fulfilled, then $T$ has nontrivial hyperinvariant subspaces.

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Maria F. Gamal'. 2019-12-14. Invertibility of functions of operators and existence of hyperinvariant subspaces. https://doi.org/10.14232/actasm-018-582-z

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