In linear algebra and related areas of mathematics a balanced set, circled set or disk in a vector space (over a field K with an absolute value |.|) is a set S so that for all scalars α with |α| ≤ 1
where
The balanced hull or balanced envelope for a set S is the smallest balanced set containing S. It can be constructed as the intersection of all balanced sets containing S.
Read more about Balanced Set: Examples, Properties
Other articles related to "balanced set, balanced sets, balanced, set":
... The union and intersection of balanced sets is a balanced set ... The closure of a balanced set is balanced ... By definition (not property), a set is absolutely convex if and only if it is convex and balanced ...
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