Polar Set

In functional analysis and related areas of mathematics the polar set of a given subset of a vector space is a certain set in the dual space.

Given a dual pair the polar set or polar of a subset of is a set in defined as

The bipolar of a subset of is the polar of . It is denoted and is a set in .

Read more about Polar Set:  Properties, Geometry

Famous quotes containing the words polar and/or set:

    In time your relatives will come to accept the idea that a career is as important to you as your family. Of course, in time the polar ice cap will melt.
    Barbara Dale (b. 1940)

    [T]he dignity of parliament it seems can brook no opposition to it’s power. Strange that a set of men who have made sale of their virtue to the minister should yet talk of retaining dignity!
    Thomas Jefferson (1743–1826)