Parametry
Více o knize
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.
Nákup knihy
Operator valued measures and integrals for cone valued functions, Walter Roth
- Jazyk
- Rok vydání
- 2009
Doručení
Platební metody
Navrhnout úpravu
- Titul
- Operator valued measures and integrals for cone valued functions
- Jazyk
- anglicky
- Autoři
- Walter Roth
- Vydavatel
- Springer
- Vydavatel
- 2009
- Vazba
- měkká
- ISBN10
- 3540875646
- ISBN13
- 9783540875642
- Kategorie
- Matematika
- Anotace
- 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.