Tingley's Problem for Haagerup Noncommutative $L_p$-Spaces, $1<p\ne 2<\infty$

Abstract

We solve Tingley's problem for Haagerup noncommutative $L_p$-spaces, where $1<p\ne 2<\infty$, which gives an affirmative answer to Mori's problem \cite[Problem~6.3]{Mori}.