Quasi-normed space
From Encyclopedia of Mathematics
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=38873
Quasi-normed space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quasi-normed_space&oldid=38873
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article