The invariant subspace problem and Rosenblum operators I

Junsheng Fang, Bingzhe Hou, Chunlan Jiang +1

Let $T\in B(\mathcal{H})$ be an invertible operator. From the 1940's, Gelfand, Hille and Wermer investigated the invariant subspaces of $T$ by analyzing the growth of $\Vert T^n\Vert$, wh…