Minimal and maximal matrix convex sets
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DOI: 10.1016/j.jfa.2017.11.011
Abstract: Abstract For every convex body K ⊆ R d , there is a minimal matrix convex set W min ( K ) , and a maximal matrix convex set W max ( K ) ,… read more here.
Keywords: matrix convex; max min; maximal matrix; convex ... See more keywords
Shape, scale, and minimality of matrix ranges
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DOI: 10.1090/tran/7665
Abstract: We study the matrix range $\mathcal{W}(T)$ of an operator tuple $T$, which is the closed and bounded matrix convex set containing all images of $T$ under unital completely positive maps into matrix algebras. To what… read more here.
Keywords: matrix convex; mathcal text; text min; matrix range ... See more keywords