Namespaces
Variants
Actions

Quasi-normed space

From Encyclopedia of Mathematics
Revision as of 17:22, 7 February 2011 by 127.0.0.1 (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article