Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision | Next revision Both sides next revision | ||
|
ℒᵖ_space [2013/09/05 22:23] nikolaj |
ℒᵖ_space [2013/09/05 22:24] nikolaj |
||
|---|---|---|---|
| Line 11: | Line 11: | ||
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | Trivial remark: For a function $f$ with values $f(x)$, we denote by $|f|^p$ the function with values |f(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 | ||
