Representation of semigroups as systems of compact convex sets
Representation of semigroups as systems of compact convex sets
Under Minkowski addition and scalar multiplication the system of all compact convex subsets of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper R Superscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>R</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{R^n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is an <italic>R</italic>-semigroup, i.e. a semigroup over the operator domain <italic>R</italic> of real numbers with …