Category:Riesz's Lemma
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This category contains pages concerning Riesz's Lemma:
Let $X$ be a normed vector space.
Let $Y$ be a proper closed linear subspace of $X$.
Let $\alpha \in \openint 0 1$.
Then there exists $x_\alpha \in X$ such that:
- $\norm {x_\alpha} = 1$
with:
- $\norm {x_\alpha - y} > \alpha$
for all $y \in Y$.
Pages in category "Riesz's Lemma"
The following 4 pages are in this category, out of 4 total.