bounded set (in a topological vector space)
Definition
Suppose is a subset of a topological vector space .
Then is a if for every neighborhood
of
the zero vector in , there
exists a scalar such that .
References
-
1
W. Rudin, Functional Analysis
, McGraw-Hill Book Company, 1973.
- 2 F.A. Valentine, Convex sets, McGraw-Hill Book company, 1964.
- 3 R. Cristescu, Topological vector spaces, Noordhoff International Publishing, 1977.
Title | bounded set (in a topological vector space) |
---|---|
Canonical name | BoundedSetinATopologicalVectorSpace |
Date of creation | 2013-03-22 13:44:16 |
Last modified on | 2013-03-22 13:44:16 |
Owner | mathcam (2727) |
Last modified by | mathcam (2727) |
Numerical id | 8 |
Author | mathcam (2727) |
Entry type | Definition |
Classification | msc 46-00 |