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Guideline: give basic definition first, before "graduate level" formal definitions that are of no use to our target audience
The '''operators''' in basic arithmetic consist of + (addition), - (subtraction), * (multipliation) and / (division).
==Formal definition==
An '''operator''' is a map from function space to function space. If the range of an operator is on the [[real line]] or in the [[complex plane]], the operator is usually called a [[functional operator|functional]] instead.
An '''operator''' is a map from function space to function space. If the range of an operator is on the [[real line]] or in the [[complex plane]], the operator is usually called a [[functional operator|functional]] instead.
[[category:mathematics]]
[[category:mathematics]]