TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - Operator-Valued Measures and Integrals for Cone-Valued Functions
T2  - Lecture Notes in Mathematics,
SN  - 9783540875659
AV  - QA312-312.5 
U1  - 515.42 23
PY  - 2009///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Functional analysis
KW  - Measure and Integration
KW  - Functional Analysis
N1  - Locally Convex Cones -- Measures and Integrals. The General Theory -- Measures on Locally Compact Spaces; ZDB-2-SMA; ZDB-2-LNM
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-87565-9
ER  -