论文信息 - Atomic and nonatomic measures

Atomic and nonatomic measures

Elementary properties of atomic and nonatomic measures are investigated. In addition, it is shown that every mea- sure can be written as the sum of a purely atomic measure and a nonatomic measure. Conditions are given under which this decom- position is unique.

Roy A. Johnson

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[3] J. Knowles. On the existence of non-atomic measures , 1967 .