ACTA issues

## Invertibility of functions of operators and existence of hyperinvariant subspaces

Maria F. Gamal'

Acta Sci. Math. (Szeged) 85:3-4(2019), 573-588
82/2018

 Abstract. Let $T$ be an absolutely continuous polynomially bounded operator, and let $\theta$ be a singular inner function. It is shown that if $\theta (T)$ is invertible and some additional conditions are fulfilled, then $T$ has nontrivial hyperinvariant subspaces. DOI: 10.14232/actasm-018-582-z AMS Subject Classification (1991): 47A15; 47A60, 47A10 Keyword(s): hyperinvariant subspace, polynomially bounded operator Received September 12, 2018 and in final form April 4, 2019. (Registered under 82/2018.)