Trace class perturbations of isometries and unitary dilations

Richard W. Carey
1974 Proceedings of the American Mathematical Society  
Let U and V be isometries acting on a Hubert space. If U -V belongs to the trace class we show that the absolutely continuous parts of the corresponding minimal unitary dilations are unitarily equivalent.
doi:10.1090/s0002-9939-1974-0358399-5 fatcat:ac6uxfmfjfc2bg7iqdsvyok44i