Noncommutative 𝐿_{𝑝}-space and operator system

Han, Kyung

doi:10.1090/S0002-9939-09-10008-4

Noncommutative $L_p$-space and operator system
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by Kyung Hoon Han PDF

Proc. Amer. Math. Soc. 137 (2009), 4157-4167 Request permission

Abstract:

We show that noncommutative $L_p$-spaces satisfy the axioms of the (nonunital) operator system with a dominating constant $2^{1 \over p}$. Therefore, noncommutative $L_p$-spaces can be embedded into $B(H)$ $2^{1 \over p}$-completely isomorphically and complete order isomorphically.

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