The subspace gives information

Functional Analysis
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Papapetros Vaggelis
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The subspace gives information

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Post by Papapetros Vaggelis »

Let \(\displaystyle{\left(X,||\cdot||\right)}\) be a normed space (real or complex) and \(\displaystyle{Y}\)

a linear subspace of \(\displaystyle{X}\) such that \(\displaystyle{\rm{int}(Y)\neq \varnothing}\).

Then, \(\displaystyle{X=Y}\).
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