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

Abstract

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

use a not proved result in some paper

References in corpus (1)

• Banach spaces with the Blum-Hanson Property