Check nearby libraries
Buy this book
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 for the development of the abstract theory is the theory of vector lattices which is presented here in great detail. Its consequent application not only yields new insight into integration theory, but also simplifies many proofs. For example, the space of real-valued measures on a delta-ring turns out to be an order complete vector lattice, which permits a coherent development of the theory and the elegant derivation of many classical and new results. The exercises occupy an important part of the volume. In addition to their usual role, some of them treat separate topics related to vector lattices and integration theory. Audience: This work will be of interest to graduate-level students and researchers with a background in real analysis, whose work involves (abstract) measure and integration, vector lattices, real functions of a real variable, probability theory and integral transforms.
Check nearby libraries
Buy this book
Previews available in: English
Showing 1 featured edition. View all 1 editions?
Edition | Availability |
---|---|
1
Advanced Integration Theory
1998, Springer Netherlands
electronic resource /
in English
9401037396 9789401037396
|
aaaa
Libraries near you:
WorldCat
|
Book Details
Published in
Dordrecht
Edition Notes
Online full text is restricted to subscribers.
Also available in print.
Mode of access: World Wide Web.
Classifications
The Physical Object
ID Numbers
Community Reviews (0)
Feedback?History
- Created June 28, 2019
- 5 revisions
Wikipedia citation
×CloseCopy and paste this code into your Wikipedia page. Need help?
March 1, 2022 | Edited by ImportBot | import existing book |
October 10, 2020 | Edited by ImportBot | import existing book |
August 3, 2020 | Edited by ImportBot | import existing book |
June 28, 2019 | Edited by MARC Bot | import existing book |
June 28, 2019 | Created by MARC Bot | Imported from Internet Archive item record. |