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Operator


An operator A:f^((n))(I)|->f(I) assigns to every function f in f^((n))(I) a function A(f) in f(I). It is therefore a mapping between two function spaces. If the range is on the real line or in the complex plane, the mapping is usually called a functional instead.


See also

Biharmonic Operator, Binary Operator, Casimir Operator, Convective Operator, d'Alembertian, Delta Operator, Functional Analysis, Hecke Operator, Hermitian Operator, Identity Operator, Lambda Calculus, Laplacian, Laplace-Beltrami Operator, Linear Operator, Operand, Operator Spectrum, Operator Theory, Perron-Frobenius Operator, Projection Operator, Rotation Operator, Scattering Operator, Shift-Invariant Operator, Shift Operator, Theta Operator, Umbral Operator, Vector Laplacian, Wave Operator, Weierstrass Operator

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Cite this as:

Weisstein, Eric W. "Operator." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Operator.html

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