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| ==== Discussion ==== | ==== Discussion ==== | ||
| - | Trivial remark: For a function $f$ with values $f(x)$, we denote by $|f|^p$ the function with values |f(x)|^p. | + | Trivial remark: As explained in the notation section of the entry [[relation concatenation]], the symbol $|f|^p$ denotes the function obtained by concatenation of the functions $f$ and $x\mapsto |x|^p$. |
| $\mathcal L^p(X,\mu)$ is a seminormed $\mathbb K$-vector space with [[Pointwise function product|pointwise]] addition and scalar multiplication and | $\mathcal L^p(X,\mu)$ is a seminormed $\mathbb K$-vector space with [[Pointwise function product|pointwise]] addition and scalar multiplication and | ||
