continuous projections to finite dimensional subspaces of normed spaces
@Yuki gave you the answer.
Define $P:X\to X$ by $Px = \sum x_k'(x) x_k$. Show that $P$ is linear, continuous and $P P = P$.
continuous projections to finite dimensional subspaces of normed spaces
@Yuki gave you the answer.
Define $P:X\to X$ by $Px = \sum x_k'(x) x_k$. Show that $P$ is linear, continuous and $P P = P$.