Consider $E=C([0,1])$ as a vector space. Is there a norm $N$ on $E$ such that
- $(E,N)$ is Banach,
- $N$ is not equivalent to the usual norm $N_\infty$?
2026-04-05 20:52:34.1775422354
Is there another (non-equivalent) norm on $C[0,1]$ that makes it a Banach space?
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