Last Updated：2025/11/26
Sentence
C([0,1])上に定義された正の線形汎関数は、非負の連続関数すべてに対して非負の値を割り当てる。
Quizzes for review
The positive linear functional defined on C([0,1]) assigns a non-negative value to every non-negative continuous function.
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The positive linear functional defined on C([0,1]) assigns a non-negative value to every non-negative continuous function.
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Related words
positive linear functional
Noun
Japanese Meaning
数学的解析の文脈で、非負な関数を入力すると非負の実数値を返す線形汎関数のことを指します。 / つまり、ある線形作用素 L に対して、入力の関数 f が f(x) ≥ 0（すべての x に対して）ならば、出力 L(f) も L(f) ≥ 0 となる性質を持つ関数です。
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