Linear Span - Closed Linear Span

Closed Linear Span

In functional analysis, a closed linear span of a set of vectors is the minimal closed set which contains the linear span of that set. Suppose that X is a normed vector space and let E be any non-empty subset of X. The closed linear span of E, denoted by or, is the intersection of all the closed linear subspaces of X which contain E.

One mathematical formulation of this is

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