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

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.

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