This book gives a general definition of the (abstract) integral, using the Daniell method. A most welcome consequence of this approach is the fact that integration theory on Hausdorff topological spaces appears simply to be a special case of abstract integration theory. The most important tool f
Advanced integration theory
โ Scribed by Constantinescu C., Filter W., Weber K.
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Leaves
- 876
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front matter......Page 1
Introduction......Page 11
Suggestions to the Reader......Page 15
Notation......Page 17
1. Vector Lattices......Page 31
2. Elementary Integration Theory......Page 289
3. L^p-spaces......Page 456
4. Real Measures......Page 558
5. The Radon-Nikodym Theorem. Duality......Page 645
6. The Classical Theory of Real Functions......Page 688
Back matter......Page 812
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