Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures whereas suprema and infima are replaced with topological limits in the vector-valued case. A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the above-mentioned cases. INDICE: Introduction.- 1. Locally Convex Cones.- 2. Measures and Integrals. The General Theory.- 3. Measures on Locally Compact Spaces.- List of Symbols.- Bibliography.- Index.
- ISBN: 978-3-540-87564-2
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 345
- Fecha Publicación: 01/01/2009
- Nº Volúmenes: 1
- Idioma: Inglés