Your cart is empty.

26-01 Real functions -- Instructional exposition (textbooks, tutorial papers, etc.)

46-01 Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.) En-ligne: Springerlink

Location | Call Number | Status | Date Due |
---|---|---|---|

Salle R | 09254-01 / 28 CON (Browse Shelf) | Available |

Index

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. (Source : Springer)

There are no comments for this item.