Noncommutative $L_p$-space and operator system

Details Noncommutative $L_p$-space and operator system Noncommutative $L_p$-space and operator system

2009-04-03

arxiv.org/abs/0904.0518v2

Mathematics

Operator Algebras

10 pages, final version, to appear in PAMS

Scientific paper

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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