“Operator”的概念、定义、习题解题方法及翻译-数学辞典

单词

Operator

释义

Operator

An operator assigns to every function a function . It istherefore a mapping between two Function Spaces. If the range is on the Real Line or inthe Complex Plane, the mapping is usually called a Functional instead.

See also Abstraction Operator, Adjoint Operator, Antilinear Operator, Biharmonic Operator,Binary Operator, Casimir Operator, Convective Operator, d'Alembertian Operator,Difference Operator, Functional Analysis, Hecke Operator, Hermitian Operator,Identity Operator, Laplace-Beltrami Operator, Linear Operator, Operand, Perron-Frobenius Operator,Projection Operator, Rotation Operator, Scattering Operator, Self-Adjoint Operator,Spectrum (Operator), Theta Operator, Wave Operator
References

Gohberg, I.; Lancaster, P.; and Shivakuar, P. N. (Eds.). Recent Developments in Operator Theory and Its Applications. Boston, MA: Birkhäuser, 1996.

Hutson, V. and Pym, J. S. Applications of Functional Analysis and Operator Theory. New York: Academic Press, 1980.

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