Absolute Continuity for Group-Valued Measures
Absolute Continuity for Group-Valued Measures
In this note we generalize the following classical theorem: If μ and ν are finite real-valued measures such that ν ( A ) = 0 implies μ ( A ) = 0, then for every ε > 0, there exists δ > 0 such that μ ( A )<ε whenever …