Let S1 and S2 be disjoint closed sets in a normed linear space with S1 compact. There

Question:

Let S1 and S2 be disjoint closed sets in a normed linear space with S1 compact. There exists a neighborhood U of 0 such that
(S1 + U) ∩ ∅
Completeness is one of the most desirable properties of a metric space. A complete normed linear space is called a Banach space. Almost all the spaces encountered in mathematical economics are Banach spaces.