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May 12 at 23:38 comment added Christian Remling For any subspace $M$ with ONB $\{ e_n\}$, the projection onto $M$ is given by $Px=\sum \langle e_n,x\rangle e_n$. In your case, a natural ONB is $\varphi(z) z^n$, $n\ge 0$.
May 12 at 22:46 history asked bm3253 CC BY-SA 4.0