Problems in Analysis pp 20-22 | Cite as
Measure and Topology
Chapter
Abstract
A measure µ is nonnegative unless otherwise qualified. If µ is complex then L|µ| is the measure defined by the equation: .
$$\left| \mu \right|\left( E \right) = \sup \left\{ {\sum\limits_{{n = 1}}^{\infty } {\left| {\mu \left( {{{E}_{n}}} \right)} \right|:\left\{ {{{E}_{n}}} \right\}_{{n = 1}}^{\infty }} } \right.
$$
Keywords
Topological Space Borel Measure Compact Hausdorff Space Outer Measure Dimensional Hausdorff Measure
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information
© Springer-Verlag New York Inc. 1982