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Representar matrices, M-ideales y productos tensoriales de espacios L1-preduales

2018
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Extracta Mathematicae
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Motivated by Bratteli diagrams of Approximately Finite Dimensional (AF) C *algebras, we consider diagrammatic representations of separable L1-predual spaces and show that, in analogy to a result in AF C * -algebra theory, in such spaces, every M -ideal corresponds to directed sub diagram. This allows one, given a representing matrix of a L1-predual space, to recover a representing matrix of an M -ideal in X. We give examples where the converse is true in the sense that given an M -ideal in a

doi:10.17398/2605-5686.33.1.33
fatcat:elpgjf2as5azncwi34hgv7ztui