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Results tagged with banach-spaces
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user 73594
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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Rearrangments of Fourier series
Suppose one has a schauder basis $\{f_n\}_{n\in\mathbb{N}}$ for $L^p([0,1])$ and we wish to expand a function $f \in L^p([0,1])$ in our basis to get the expression
$$f(y)=\sum_{n=0}^{\infty} a_n f_n( …
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