A balanced set is a subset 
of a vector space 
such that 
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.Referenced on Wolfram|Alpha
Balanced SetCite this as:
Weisstein, Eric W., with contributions by Christopher Stover. "Balanced Set." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BalancedSet.html