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4.13: Kernels and Operators
https://stats.libretexts.org/Bookshelves/Probability_Theory/Probability_Mathematical_Statistics_and_Stochastic_Processes_(Siegrist)/04%3A_Expected_Value/4.13%3A_Kernels_and_Operators
If $f: T \to \R$ and $f$ is thought of as a column vector indexed by $T$ , then $K f$ is simply the ordinary product of the matrix $K$ and the vector $f$ ; the product is a colum...If $f: T \to \R$ and $f$ is thought of as a column vector indexed by $T$ , then $K f$ is simply the ordinary product of the matrix $K$ and the vector $f$ ; the product is a column vector indexed by $S$ : $K f(x) = \sum_{y \in S} K(x, y) f(y), \quad x \in S$ Similarly, if $f: S \to \R$ and $f$ is thought of as a row vector indexed by $S$ , then $f K$ is simple the ordinary product of the vector $f$ and the matrix $K$ ; the product is a row vector…

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