A sublinear function (or functional, as is more often used in functional analysis), in linear algebra and related areas of mathematics, is a function
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In functional analysis the name Banach functional is used for sublinear function, especially when formulating Hahn–Banach theorem.
In computer science, a function
This means that for any linear function
Examples
Properties
Operators
The concept can be extended to operators that are homogeneous and subadditive. This requires only that the codomain be, say, an ordered vector space to make sense of the conditions.