Spectrum of weighted isometries: C*-algebras, transfer operators and topological pressure

K. Bardadyn, B. Kwaśniewski

We study the spectrum of operators $aT\in B(H)$ on a Hilbert space $H$ where $T$ is an isometry and $a$ belongs to a commutative $C^{\ast }$-subalgebra $C(X)\cong A\subseteq B(H)$ such t…