Fubini's Theorem - Alternate Theorem Statement

Alternate Theorem Statement

Another version of Fubini's theorem states that if A and B are σ-finite measure spaces, not necessarily complete, and if both

and

then

and

.

In this version the condition that the measures are σ-finite is necessary.

Read more about this topic:  Fubini's Theorem

Famous quotes containing the words alternate, theorem and/or statement:

    I alternate between reading cook books and reading diet books.
    Mason Cooley (b. 1927)

    To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
    Albert Camus (1913–1960)

    He has the common feeling of his profession. He enjoys a statement twice as much if it appears in fine print, and anything that turns up in a footnote ... takes on the character of divine revelation.
    Margaret Halsey (b. 1910)