Noncommutative $L_p$-space and operator system
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- by Kyung Hoon Han
- Proc. Amer. Math. Soc. 137 (2009), 4157-4167
- DOI: https://doi.org/10.1090/S0002-9939-09-10008-4
- Published electronically: July 14, 2009
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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.References
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Bibliographic Information
- Kyung Hoon Han
- Affiliation: Department of Mathematical Sciences, Seoul National University, San 56-1 ShinRimDong, KwanAk-Gu, Seoul 151-747, Korea
- Email: kyunghoon.han@gmail.com
- Received by editor(s): July 13, 2008
- Received by editor(s) in revised form: February 16, 2009, and March 20, 2009
- Published electronically: July 14, 2009
- Additional Notes: This work was supported by the BK21 project of the Ministry of Education, Korea.
- Communicated by: Marius Junge
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 4157-4167
- MSC (2000): Primary 46L07, 46L52, 47L07
- DOI: https://doi.org/10.1090/S0002-9939-09-10008-4
- MathSciNet review: 2538576