On the convergence of the normalized power sequence of spectral operators on Hilbert space

Soumyashant Nayak, Renu Shekhawat

Let $\mathcal{H}$ be a complex Hilbert space, and let $\mathcal{B}(\mathcal{H})$ denote the set of all bounded operators on $\mathcal{H}$ . For an operator $T \in \mathscr{B}(\math…