Unformatted text preview: Analysis 2
1. Let µ and ν be σ -ﬁnite measures on (Ω, F ).
(i) Produce an everywhere-positive g ∈ L(µ) ∩ L(ν ).
(ii) With g as above, show that if ν
µ then νg
(ii) Extend the R-N theorem from ﬁnite to σ -ﬁnite measures. 1 ...
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- Spring '09
- Pythagorean Theorem, Hilbert space, -ﬁnite measures, R-N theorem