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arXiv · 2110.06276

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

Cédric Arhancet
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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.

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Cédric Arhancet. 2021-10-12. A note on the Blum-Hanson property of some contractions on $\mathrm{L}^p$-spaces. https://arxiv.org/abs/2110.06276

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