Balanced Set

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.

See also

This entry contributed by Christopher Stover

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References

Wong, Y. Introductory Theory of Topological Vector Spaces. New York: Dekker, 1992.

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Cite this as:

Weisstein, Eric W., with contributions by Christopher Stover. "Balanced Set." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BalancedSet.html

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