operator


Synonym of mapping and function. Often used to refer to mappings where the domain and codomain are, in some sense a space of functions.

Examples: differential operator, convolution operator.

In the study of algebraic systems such as groups and rings, an operator often refers to a mapping from some cartesian power Aλ of a set A to the set A, where λ is a cardinal. For example, multiplicationPlanetmathPlanetmath of integers can be thought of as an operator from 2 to .

Title operator
Canonical name Operator
Date of creation 2013-03-22 12:20:26
Last modified on 2013-03-22 12:20:26
Owner rmilson (146)
Last modified by rmilson (146)
Numerical id 6
Author rmilson (146)
Entry type Definition
Classification msc 03-00
Synonym mapping function