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  "body": "\n## Summary\n\nA sequence space is a vector space whose elements are infinite sequences of real or complex numbers, with termwise addition and scalar multiplication.\nStandard examples are the [[spaces ℓ^p|08P6T2WH6R]], the [[space of convergent sequences|GWCBGYG5RA]] and the [[space of null sequences|WDH6QSH1Z6]].\nSequence spaces give the simplest examples of infinite-dimensional normed and topological vector spaces.\nIn summability theory, the sequences summable by a matrix method form a sequence space, and functional analysis is used to study it.\n\n## Explanations\n\n### L1 human\n\nThink of a sequence as a vector with infinitely many coordinates.\nAdding two sequences term by term and multiplying a sequence by a number work just as for vectors in $\\R^n$.\nA sequence space is any collection of sequences that is closed under these two operations.\nFor example, the sequences that tend to $0$ form a sequence space, because the sum of two such sequences also tends to $0$.\n",
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