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YCor
YCor
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Dense linear Span Means Closed Convex Hullspan implies closed convex hull has non-empty Interiorinterior

Let $X$ be a FrechetFréchet space and let $Y\subseteq X$ such that $\overline{\operatorname{span}(Y)}=X$. It seems intuitive to me that $\operatorname{int}(\overline{co(Y)})$$\operatorname{int}\big(\overline{\operatorname{co}(Y)}\big)$ is a non-empty open subset of $X$. But how to show this?

Dense linear Span Means Closed Convex Hull has non-empty Interior

Let $X$ be a Frechet space and let $Y\subseteq X$ such that $\overline{\operatorname{span}(Y)}=X$. It seems intuitive to me that $\operatorname{int}(\overline{co(Y)})$ is a non-empty open subset of $X$. But how to show this?

Dense linear span implies closed convex hull has non-empty interior

Let $X$ be a Fréchet space and let $Y\subseteq X$ such that $\overline{\operatorname{span}(Y)}=X$. It seems intuitive to me that $\operatorname{int}\big(\overline{\operatorname{co}(Y)}\big)$ is a non-empty open subset of $X$. But how to show this?

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ABIM
ABIM
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Dense linear Span Means Closed Convex Hull has non-empty Interior

Let $X$ be a Frechet space and let $Y\subseteq X$ such that $\overline{\operatorname{span}(Y)}=X$. It seems intuitive to me that $\operatorname{int}(\overline{co(Y)})$ is a non-empty open subset of $X$. But how to show this?