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Linear Operator

A linear operator is an operator L^~ such that for every pair of functions f and g and scalar t,

L^~(f+g)=L^~f+L^~g

and

L^~(tf)=tL^~f.

See also

Abstract Algebra, Linear Transformation, Operator

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Cite this as:

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

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