Show, in the terminology of Exercise 3.4, that M is indecomposable if and only if

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Show, in the terminology of Exercise 3.4, that M is indecomposable if and only if ϒ ⋁ ϒ* = 1. (Leonov & Shiryaev, 1959; Brillinger, 1975, Section 2.3.)

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