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.
قائمة المحتويات
Locally Convex Cones.- Measures and Integrals. The General Theory.- Measures on Locally Compact Spaces.
المزيد من الكتب الإلكترونية من نفس المؤلف (المؤلفين) / محرر
2٬210 كتب إلكترونية في هذه الفئة
