bounded set
A set in a topological vector space
is bounded if it is absorbed by every neighborhood
of 0. That is, B is bounded if for every neighborhood U of 0, there
is a δ>0 such that ϵB⊂U for 0≤ϵ<δ.
| Title | bounded set |
|---|---|
| Canonical name | BoundedSet |
| Date of creation | 2013-03-22 15:59:12 |
| Last modified on | 2013-03-22 15:59:12 |
| Owner | Mathprof (13753) |
| Last modified by | Mathprof (13753) |
| Numerical id | 4 |
| Author | Mathprof (13753) |
| Entry type | Definition |
| Classification | msc 46A08 |