Editing Continuous functional calculus (section)

In [[mathematics]], particularly in [[operator theory]] and [[C*-algebra]] theory, the '''continuous functional calculus''' is a [[functional calculus]] which allows the application of a [[continuous function]] to [[Normal element|normal elements]] of a C*-algebra.

In advanced theory, the applications of this functional calculus are so natural that they are often not even mentioned. It is no overstatement to say that the continuous functional calculus makes ''the'' difference between C*-algebras and general [[Banach algebra|Banach algebras]], in which only a [[holomorphic functional calculus]] exists.