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A linear operator L satisfies L(f + g) = Lf + Lg and L(λf) = λLf for all functions f, g and scalars λ.
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A linear operator L satisfies L(f + g) = Lf + Lg and L(λf) = λLf for all functions f, g and scalars λ.
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Related words
linear operator
Noun
Japanese Meaning
数学、特に関数解析の分野において、加法性（L(f+g)=Lf+Lg）とスカラー倍との分配性（L(λf)=λLf）という性質を持つ作用素。 / 線形な算子、または線形変換と呼ばれ、関数やベクトルに対して線形性（加法性およびスカラー倍との分配性）を保証する演算子のこと。
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