Balanced Set

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 SetExamples, Properties

Other articles related to "balanced set, balanced sets, balanced, set":

Balanced Set - Properties
... 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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