In mathematics, an operator is generally a mapping or function that acts on elements of a space to produce elements of another space, possibly and sometimes required to be the same space. The cited article says there is no general definition of an operator, but the term is often used in place of function when the domain is a set of functions or other structured objects, that the domain of an operator is often difficult to characterize explicitly, as with an integral operator, and that it may be extended so as to act on related objects. Objects recorded in the atlas as operators are grouped under this concept.
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Source Wolfram MathWorld: Operator
Kind Of Object Of
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1. Operator (Mathematics)
Lead sentence
an operator is generally a mapping or function that acts on elements of a space
Wikipedia, lead section
In mathematics, an operator is generally a mapping or function that acts on elements of a space to produce elements of another space (possibly and sometimes required to be the same space).
View the SourceWolfram MathWorld: Operator
Wolfram MathWorldIn Branch: Operator Theory, Subject classificationsQuote, In Branch: Operator Theory, Subject classifications
Calculus and Analysis Operator Theory
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