It is an associative algebra $\mathcal A$ over the real or the complex numbers with a norm such that it is Cauchy complete in the metric induced by the norm and such that the multiplication is continuous:
$$ \| x\cdot y \| \leq \| x\| \| y\| $$Idea: special families of functions defined on some spaces...
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Author of the notes: Antonio J. Pan-Collantes
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