A note on the Blum-Hanson property of some contractions on $\mathrm{L}^p$-spaces

Abstract

If Ω is a measure space, we show that absolute contractions which are selfadjoint on L 2 (Ω) induce contractions on L p (Ω) which satisfy the Blum-Hanson property. Our very short argument relies on the use of noncommutative L p -spaces.