# 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 $\mathbb{Z}$.

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 |