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Finite dimensional injective operator spaces

Author(s): Roger R. Smith
Journal: Proc. Amer. Math. Soc. 128 (2000), 3461-3462.
MSC (2000): Primary 46L07
Posted: June 21, 2000
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Abstract:

We show that finite dimensional injective operator spaces are corners $p\mathcal{A} p^{\perp}$ of finite dimensional -algebras $\mathcal{A}$ .

References:

[B]: D. P. Blecher, The standard dual of an operator space, Pacific J. Math., 153 (1992), 15-30. MR 93d:47083
[E]: E. G. Effros, Talk at the annual meeting of the A.M.S., San Antonio, January 1999.
[EN]: E. G. Effros and P. W. Ng, Manuscript in preparation.
[ER1]: E. G. Effros and Z.-J. Ruan, $\mathcal{O}\mathcal{L}_p$ spaces, in ``Operator algebras and operator theory (Shanghai, 1997)", Contemp. Math., vol. 228, Amer. Math. Soc., Providence, RI, 1998, pp. 51-77. MR 2000a:46102
[ER2]: E. G. Effros and Z.-J. Ruan, Dual injective operator spaces, preprint, 1999.
[R]: Z.-J. Ruan, Injectivity of operator spaces, Trans. A.M.S., 315 (1989), 89-104. MR 91d:46078


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