jerrylicious/garden
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

Fixed typo in the Singer representation remark.
All checks were successful
Compile Project / Compile (push) Successful in 22s
Details

Browse Source
This commit is contained in:
Bokuan Li
2026-03-20 00:13:08 -04:00
parent 1d9f537b86
commit 780d5d362e
1 changed files with 2 additions and 2 deletions
Download Patch File Download Diff File Expand all files Collapse all files

4
src/measure/radon/c0.tex
View File

@@ -176,9 +176,9 @@
\nu: \cb_X \to E^* \quad \dpn{y,\nu(A)}{E} = \int_{X \times B} \one_A(x) \cdot \dpn{y, \phi}{E} \mu(dx, d\phi)
\]
It may be more tempting to use the strong formulation directly
It may be tempting to use the strong formulation directly
\[
\nu: \cb_X \to E^* \quad \dpn{y,\nu(A)}{E} = \int_{X \times B} \phi \cdot \one_A(x) \mu(dx, d\phi)
\nu: \cb_X \to E^* \quad \nu(A) = \int_{X \times B} \phi \cdot \one_A(x) \mu(dx, d\phi)
\]
However, without additional assumptions on $E^*$, $\phi \cdot \one_A(x)$ may not be strongly measurable, which prevents this direct use of the Bochner integral. Thus the weak formulation is a necessary complication in the proof.