Webprime ideals in C ( [0,1]) It is clear that each maximal ideal in ring of continuous functions over [ 0, 1] ⊂ R corresponds to a point and vice-versa. So, for each ideal I define Z ( I) = { x … Web20 mei 2014 · Theorem 2.2 shows a class of Banach lattices where closed continuous and closed heterogeneous Riesz subspaces do not exist. Therefore if we want to prove that for a closed ideal F \subset E there is a closed (heterogeneous) Riesz subspace G in E with F + G \ne \overline {F + G} we have to assume something about E or F.
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