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# 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 $A^{{\lambda}}$ of a set $A$ to the set $A$, where $\lambda$ is a cardinal. For example, multiplication of integers can be thought of as an operator from $\mathbb{Z}^{2}$ to $\mathbb{Z}$.

Synonym:

mapping function

Type of Math Object:

Definition

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## Mathematics Subject Classification

03-00*no label found*

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