# Convergence in norm

From Encyclopedia of Mathematics

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

Here is the norm in .

#### Comments

See also Convergence, types of.

**How to Cite This Entry:**

Convergence in norm.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Convergence_in_norm&oldid=11744

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article