On operators with unitary ϱ-dilations
Volume 66 / 1997
Annales Polonici Mathematici 66 (1997), 11-14
DOI: 10.4064/ap-66-1-11-14
Abstract
We show a polynomially boundend operator T is similar to a unitary operator if there is a singular unitary operator W and an injection X such that XT = WX. If, in addition, T is of class $C_ϱ$, then T itself is unitary.
