A linear functional on a real vector space is a function , which satisfies the following properties.
is a complex vector space, then is a linear map into the complex
Generalized functions are a special case
of linear functionals, and have a rich theory surrounding them.
See alsoDual Vector Space
, Generalized Function
, Vector Space
This entry contributed by Todd
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Cite this as:
Rowland, Todd. "Linear Functional." From MathWorld--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/LinearFunctional.html