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Minimal Wittstock Envelopes of Hermitian Completely Bounded Maps

Kian, Mohsen
arXiv (All) · Papers
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functional-analysisoperator-algebras
A Hermitian completely bounded map $Φ:\mathscr{A}\to B(\mathcal{H})$ need not have a canonical completely positive analogue of an absolute value. We study this problem through the ordered set $\mathsf{E}(Φ)$ of completely positive symmetric majorants of $Φ$, which we call Wittstock envelopes.
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