Timeline for Good book for measure theory and functional analysis
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 11 at 6:44 | comment | added | JeeyCi | @Michael Greinecker: thanks for the comment. I really always wonder to e.g. such smooting in one "measurable space" - why VaR of split(sample)-distribution is as wide as total population's VaR - why could it be correct in the same "measurable space"? | |
| Nov 8, 2021 at 9:12 | comment | added | Michael Greinecker | @DavidSchrittesser I'm not sure where you can find that in Bourbaki, but there is a representation theorem of Kakutani that shows the space of bounded measurable functions on a measurable space with the sup-norm can be identified with a subspace pf $C(K)$ for $K$ a suitable compact space. This allows one to reduce abstract measure theory to topological measure theory. | |
| Nov 7, 2021 at 20:48 | comment | added | David Schrittesser | Michael, what are the "sophisticated compactification techniques" you mention, and where can I find examples of such? | |
| Nov 2, 2017 at 14:15 | comment | added | Saeid Haghighatshoar | Thanks a lot for the detailed response. Interestingly, I was looking for a suitable book in the library and I found "Vector Measures" by by Diestel and Uhl which goes deeper in this direction. I am now reading this book. I also checked "Topological Riesz Spaces and Measure Theory" by David Fremlin. It seems that the author addresses exactly the same connection that I am interested in although for the specific case of Riesz spaces. I will definitely check this book. Thanks a lot. | |
| Nov 1, 2017 at 17:11 | history | answered | Michael Greinecker | CC BY-SA 3.0 |