A subset 
of a vector space 
is said to be balanced if 
whenever 
is a scalar satisfying 
. Here, the notation 
denotes the set
 |
Sets which are balanced are sometimes called circled.
Balanced Set
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.Cite this as:
Stover, Christopher. "Balanced Set." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/BalancedSet.html