bounded set

A set in a topological vector spaceMathworldPlanetmath is bounded if it is absorbed by every neighborhoodMathworldPlanetmath of 0. That is, B is bounded if for every neighborhood U of 0, there is a δ>0 such that ϵBU for 0ϵ<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