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arXiv · 1905.08491

Interpolation of quasi noncommutative $L_p$-spaces

Juan Gu·Zhi Yin·Haonan Zhang
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Abstract

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

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BibTeXRIS

Juan Gu, Zhi Yin, Haonan Zhang. 2019-05-21. Interpolation of quasi noncommutative $L_p$-spaces. https://arxiv.org/abs/1905.08491

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