User:Lord Farin/Long-Term Projects/Schilling

= Processing of 'Measures, Integrals and Martingales' =

$\S 2$

This book I deem useful to develop (mostly) the theory of the function spaces which are paramount examples in Conway's book on functional analysis.

Nice side effect is that measure theory gains another authoritative source.

Errata and solutions to the exercises are available at http://www.motapa.de/measures_integrals_and_martingales/index.html.

Progress thus far
Up to $\S 2$, Direct Image / p.6 Lord_Farin 18:44, 7 March 2012 (EST)

Up to $\S 3$ / p.15 Lord_Farin 19:26, 12 March 2012 (EDT)

Up to $\S 3$ Problem $10$ / p.20 Lord_Farin 19:45, 13 March 2012 (EDT)

Up to $\S 4$ / p.22 Lord_Farin 04:52, 16 March 2012 (EDT)

Up to $4.6$ / p.26 Lord_Farin 18:52, 16 March 2012 (EDT)

Up to $4.7 (v)$ / p.27 Lord_Farin 07:42, 17 March 2012 (EDT)

Up to $4.8$ / p.27 Lord_Farin 18:48, 17 March 2012 (EDT)

Up to $\S 5$ / p.31 Lord_Farin 19:50, 20 March 2012 (EDT)

Up to $\S 6$ / p.37 Lord_Farin 12:36, 22 March 2012 (EDT)

Up to $\S 7$ / p.49 Lord_Farin 11:24, 23 March 2012 (EDT)

Up to $7.5$ / p.51 Lord_Farin 18:21, 31 March 2012 (EDT)

Up to $\S 8$ / p.57 Lord_Farin 15:35, 3 April 2012 (EDT)

Up to $8.9$ / p.62 Lord_Farin 18:10, 4 April 2012 (EDT)

Skipped thus far (that is, what needs to be done still)

 * Structuring of the definitions colliding with Category:Probability Theory (so far, only $\S 4$)
 * Lebesgue Measure, $4.8,9$, maybe some Problems, too
 * Most of the proofs

Other things

 * Category:Sigma-Algebras to be created; maybe also Category:Monotone Classes, Category:Dynkin Systems
 * Go through the exercises again at the end to post up more, and provide better linking
 * Category:Stieltjes Functions, Category:Simple Functions