A Representation Theorem for Local Operator Spaces
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Date
2007
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Consultants Bureau/springer
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Abstract
In this note, we generalize Ruan's representation theorem and propose an Arveson-Hanh-Banach-Webster theorem for local operator spaces. Further, we investigate the decomposability of a complete contraction acting from a unital multinormed C*-algebra to a local operator system into a product of contractions and a unital contractive *-representation, and we study injectivity in both local operator space and local operator system contexts.
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local operator space, local operator system, multinormed C*-algebra
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Q4
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Volume
41
Issue
4
Start Page
306
End Page
310