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Results tagged with banach-spaces
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user 15469
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
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Infinite internal direct sums of subspaces
Given a compact Hausdorff space $K$ such that $C(K)$ is of density $\omega_1$. Suppose that every copy of $c_0(\omega_1)$ in $C(K)$ is complemented. Let $\{Y_\alpha\colon\alpha<\omega_1\}$ be a family …
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