Non-linear functional
From Encyclopedia of Mathematics
A special case of a non-linear operator defined on a real (or complex) vector space 
and whose values are real (or complex) numbers. Examples of non-linear functionals are the functionals of the calculus of variations,
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or convex functionals, defined by the condition
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where 
, 
, and, say, 
— the norm of an element in a normed space.
Comments
See also Non-linear functional analysis.
How to Cite This Entry:
Non-linear functional. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Non-linear_functional&oldid=12886
Non-linear functional. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Non-linear_functional&oldid=12886
This article was adapted from an original article by V.I. Sobolev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article