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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

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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 …
Wiktor Jaszak's user avatar