Sriram Balasubramanian

This article contains a characterization of operator systems S with the property that every positive map φ: S → Mn is decompos-able, as well as an alternate and a more direct proof of a characterization of decomposable maps due to E. Størmer.

Matrix-valued polynomials in any finite number of freely noncommuting variables that enjoy certain canonical partial convexity properties are characterized, via an algebraic certificate, in terms of Linear Matrix Inequalities and Bilinear Matrix Inequalities.