Completion
From Encyclopedia of Mathematics
of a topological vector space 
A complete topological vector space 
such that 
is a subspace of 
and 
is dense in 
. The transition from 
to 
is also called completion; its standard realization is carried out by generalized sequences (in particular, Cauchy sequences, cf. Generalized sequence).
Comments
References
| [a1] | G. Köthe, "Topological vector spaces" , 1 , Springer (1969) |
How to Cite This Entry:
Completion. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Completion&oldid=30898
Completion. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Completion&oldid=30898
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article