Balanced Set
A subset B of a vector space E is said to be balanced if lambdaB subset= B whenever lambda is a scalar satisfying |lambda|<=1. Here, the notation lambdaB denotes the set
| lambdaB={lambdab:b in B}. |
Sets which are balanced are sometimes called circled.
See also
SubsetThis entry contributed by Christopher Stover
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References
Wong, Y. Introductory Theory of Topological Vector Spaces. New York: Dekker, 1992.Referenced on Wolfram|Alpha
Balanced SetCite this as:
Stover, Christopher. "Balanced Set." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/BalancedSet.html