Uniform norm
In mathematical analysis, the uniform norm assigns to real- or complex-valued functions f the nonnegative number
The occasion for the subscript "∞" is that
where
where D is the domain of f.
The binary function
is then a metric on the space of all bounded functions on a particular domain. A sequence { fn : n = 1, 2, 3, ... } converges uniformly to a function f if and only if
For complex continuous functions over a compact space, this turns it into a C* algebra.
Referenced By
List of functional analysis topics | List of general topology topics | List of mathematical topics (S-U)
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