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ORDER EMBEDDING OF A MATRIX ORDERED SPACE
Published online by Cambridge University Press: 21 June 2011
Abstract
We characterize certain properties in a matrix ordered space in order to embed it in a C*-algebra. Let such spaces be called C*-ordered operator spaces. We show that for every self-adjoint operator space there exists a matrix order (on it) to make it a C*-ordered operator space. However, the operator space dual of a (nontrivial) C*-ordered operator space cannot be embedded in any C*-algebra.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2011
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