Measure Theory

Paul R. Halmos (auth.)9780387900889, 0387900888

P.R. Halmos

Measure Theory

“As with the first edition, this considerably improved volume will serve the interested student to find his way to active and creative work in the field of Hilbert space theory.”—MATHEMATICAL REVIEWS

Table of contents :
Front Matter….Pages i-xi
Prerequisites….Pages 1-8
Sets and Classes….Pages 9-29
Measures and Outer Measures….Pages 30-48
Extension of Measures….Pages 49-72
Measurable Functions….Pages 73-94
Integration….Pages 95-116
General Set Functions….Pages 117-136
Product Spaces….Pages 137-160
Transformations and Functions….Pages 161-183
Probability….Pages 184-215
Locally Compact Spaces….Pages 216-249
Haar Measure….Pages 250-265
Measure and Topology in Groups….Pages 266-289
Back Matter….Pages 291-304