Talk:Lebesgue's decomposition theorem

proof needed

could somebody please proof the theorem ? —Preceding unsigned comment added by 213.39.131.241 (talk) 10:40, 26 October 2007 (UTC)

Other decomposition theorems

Hahn decomposition theorem & Jordan decomposition theorem

Levy-Ito decomposition

At Talk:Lévy_process#Levy-Ito_decomposition_and_Lebesgue_decomposition I discussed the claim about the relation with the Levy-Ito decomposition. I think that it is an analogy at best and should certainly be justified by some reference if it is to remain on this page. 130.88.123.107 (talk) 17:19, 18 January 2017 (UTC)

Is $\sigma$-finiteness needed?

Is $\sigma$-finiteness actually needed? The discussion here suggests otherwise: https://mathoverflow.net/questions/362444/two-definitions-of-lp-spaces-that-are-not-always-equivalent --Svennik (talk) 20:49, 8 June 2020 (UTC)