CM-ideals and L1-matricial split faces

E. M. Alfsen and E. G. Effros, Structure in real Banach spaces-I, II, Ann. of Math., 96 (1972), 98–173.

E. M. Alfsen and T. B. Andersen, Split faces of compact convex sets, Proc. Lond. Math. Soc., 3 (1970), 415–442.

D. Blecher and V. Zarikian, The calculus of one-sided M-ideals and multipliers in operator spaces, Mem. Amer. Math. Soc. 179, Amer. Math. Soc., Rhode Island, 2006.

M. D. Choi and E. G. Effros, Injectivity and operator spaces, J. Funct. Anal., 24 (1977), 156–209.

E. G. Effros and Z. J. Ruan, Operator spaces, Oxford University press, New York, 2000.

E. G. Effros and Z. J. Ruan, Mapping spaces and lifting for operator spaces, Proc. Lond. Math. Soc., 3 (1994), 171–197.

E. G. Effros Aspects of non commutative order, C*-algebras and applications to Physics, Proc. Second Japan-USA Sem., Los Angeles, Calif., 1977, 1–40.

A. Ghatak and A. Karn, M-ideals and split faces of the quasi state space of a non-unital ordered Banach spaces, Positivity, 23 (2019), 413–429.

A. Ghatak and A. K. Karn, Quantization of A(K)-spaces, arXiv (2018), preprint; arXiv: 1802.03481.

P. Harmand, D. Werner and W. Werner, M-ideals in Banach spaces and Banach algebras, Lecture Notes in Math. 1547, Springer-Verlag, Berlin, 1993.

A. K. Karn Order embedding of matrix ordered spaces, Bull. Aust. Math. Soc., 84 (2011), 10–18.

A. K. Karn A p-theory of ordered normed spaces, Positivity, 14 (2010), 441–458.

V. I. Paulsen I. G. Todorov M. Tomforde, Operator system structures on ordered spaces, Proc. Lond. Math. Soc., 102 (2011), 25–49.

Z. J. Ruan Subspaces of C*-algebras, J. Funct. Anal., 29 (1998), 217–230.1–98.

Y. T. Poon and Z. J. Ruan, Operator algebras with contractive approximate identities, Canad. J. Math., 46 (1994), 397–414.

W. J. Schrelnler Matrix regular operator spaces, J. Funct. Anal., 152 (1998), 136–175.

W. Werner, Subspaces of L(H) that are *-invariant, J. Funct. Anal., 193 (2002), 207–223.