Schauder basis

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What Wikipedia says

In mathematics, a Schauder basis or countable basis is similar to the usual (Hamel) basis of a vector space; the difference is that Hamel bases use linear combinations that are finite sums, while for Schauder bases they may be infinite sums.

Excerpt from the Wikipedia article “Schauder basis”, under the CC BY-SA 4.0 license. Read the article on Wikipedia