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• W3033018488 abstract "We show that the set of projections in an operator system can be detected using only the abstract data of the operator system. Specifically, we show that if $p$ is a positive contraction in an operator system $V$ which satisfies certain order-theoretic conditions, then there exists a complete order embedding of $V$ into $B(H)$ mapping $p$ to a projection operator. Moreover, every abstract projection in an operator system $V$ is an honest projection in the C*-envelope of $V$. Using this characterization, we provide an abstract characterization for operator systems spanned by two commuting families of projection-valued measures and discuss applications in quantum information theory." @default.
• W3033018488 created "2020-06-12" @default.
• W3033018488 creator A5074443725 @default.
• W3033018488 creator A5088897193 @default.
• W3033018488 date "2020-06-04" @default.
• W3033018488 modified "2023-09-27" @default.
• W3033018488 title "An abstract characterization for projections in operator systems" @default.
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• W3033018488 hasPublicationYear "2020" @default.
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