Convergence in norm

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Convergence of a sequence in a normed vector space to an element , defined in the following way: if

Here is the norm in .


See also Convergence, types of.

How to Cite This Entry:
Convergence in norm. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article