Quasi-interior point
In mathematics, specifically in order theory and functional analysis, an element of an ordered [topological vector space] is called a quasi-interior point of the positive cone of if and if the order interval is a total subset of ; that is, if the linear span of is a dense subset of
Properties
If is a separable metrizable locally convex ordered topological vector space whose positive cone is a complete and total subset of then the set of quasi-interior points of is dense inExamples
If then a point in is quasi-interior to the positive cone if and only it is a weak order unit, which happens if and only if the element contains a function that is almost everywhere.A point in is quasi-interior to the positive cone if and only if it is interior to