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ℒᵖ_space [2013/09/05 22:12] nikolaj created |
ℒᵖ_space [2013/09/05 22:32] nikolaj |
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==== Discussion ==== | ==== Discussion ==== | ||
+ | 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 $x\mapsto |x|^p$. | ||
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$\mathcal L^p(X,\mu)$ 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 | ||
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=== Subset of === | === Subset of === | ||
[[Seminorm]] | [[Seminorm]] | ||
- | === Requirements of === | + | === Requirements === |
[[Function integral]] | [[Function integral]] | ||
=== Parents === | === Parents === | ||
[[Pointwise function product]] | [[Pointwise function product]] |