Interpolation of quasi noncommutative $L_p$-spaces

Abstract

Let $\mathcal{M}$ be a ($\sigma$-finite) von Neumann algebra associated with a normal faithful state $\varphi .$ We prove a complex interpolation result for a couple of two (quasi) Haagerup noncommutative $L_p$-spaces $L_{p_0}(\mathcal{M},\varphi )$ and $L_{p_1}(\mathcal{M},\varphi ),0<p_0<p_1\le \infty ,$ which has further applications to the sandwiched $p$-Rényi divergence.

26 pages

References in corpus (1)

• Riesz and Szegö type factorizations for noncommutative Hardy spaces