Quasi-normed space
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
A linear space on which a quasi-norm is given. An example of a quasi-normed space that is not normed is the Lebesgue space 
with 
, in which a quasi-norm is defined by the expression
 |
Comments
The quasi-normed topological vector spaces are precisely the locally bounded topological vector spaces, cf. Quasi-norm.
How to Cite This Entry:
Quasi-normed space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quasi-normed_space&oldid=17613
Quasi-normed space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quasi-normed_space&oldid=17613
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article