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    Dual Normed Space

    Definition

    If X is a normed linear space, then the set of continuous linear functionals on X is called the dual (or conjugate) space of X. When equipped with the norm left double bracketing bar f right double bracketing bar = sup{ left bracketing bar f(x) right bracketing bar : left double bracketing bar x right double bracketing bar = 1}, a dual normed space is a Banach space.

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