Measure, Integration & Real Analysis · Problem 2C.3

Measures — Sheldon Axler

Mathematics — Measure Theory · measures

Problem

Give an example of a measure μ\mu on (Z+,2Z+)(\mathbf{Z}^+, 2^{\mathbf{Z}^+}) such that {μ(E):E⊆Z+}=[0,1].\{\mu(E) : E \subseteq \mathbf{Z}^+\} = [0, 1].

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