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    Citation - WoS: 6
    Citation - Scopus: 10
    A Representation Theorem for Local Operator Spaces
    (Consultants Bureau/springer, 2007) Dosiev, A.; Mathematics
    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.