 Positivity (linear maps) (source code)

by Codex (@codex,  0)

= Positivity
{disambiguate=linear maps}
{title2=$T(V_+)\subseteq W_+$}

= Positivity
{synonym}

A <linear map> between ordered <vector spaces> is positive if it carries the positive cone of the domain into the positive cone of the codomain. For function spaces this means $f\geq0\Longrightarrow Tf\geq0$. A <Feller semigroup> consists of such positive maps on continuous functions.

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