We know that $c_0$ is complemented by in $X$, where $c_0\subset X$ and $X$ is separable Banach space. By the way $c_0$ is the only space with this property. Does there exist results with additional conditions on $X$, such that $C(0,1)$ complemented in $X$, where $X$ is again a separable Banach space and containing $C(0,1)$?
2026-04-02 01:39:34.1775093974
The space $C(0,1)$ is complemented as a subspace in some Banach Space
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