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

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A basis of the space of continuous function of countable ordinals $C(\alpha) = C [0, \alpha]$

A basis of the space of continuous function of countable ordinals $C({\alpha}) = C [0, {\alpha}]$, which consist of characteristics functions of clopen subsets of $C({\alpha})$, in some order. But can …
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