Timeline for Why is Lebesgue integration taught using positive and negative parts of functions?
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 20 at 8:23 | comment | added | Pietro Majer | The point, to me, is that to prove that a measurable vector valued function $f:X\to\mathbb E$ is integrable, one needs to check that $\int_X\|f(x)\|_{\mathbb E}d\mu$ is finite, and in order to do so, one has to work with the integral before knowing it is finite. In other words, the priority is the need of an integral calculus for non-negative functions, which uses the poor but useful and natural algebra of $[0,\infty]$, instead of linear algebra of vector spaces. | |
| Feb 19 at 18:06 | history | edited | LSpice | CC BY-SA 4.0 |
Typo, while this is on the front page
|
| May 18, 2010 at 19:28 | history | answered | Fabrizio Polo | CC BY-SA 2.5 |