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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.
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.
€59.49
表中的内容
Locally Convex Cones.- Measures and Integrals. The General Theory.- Measures on Locally Compact Spaces.
语言 英语 ● 格式 PDF ● 网页 356 ● ISBN 9783540875659 ● 出版者 Springer Berlin ● 市 Heidelberg ● 国家 DE ● 发布时间 2008 ● 下载 24 个月 ● 货币 EUR ● ID 2164535 ● 复制保护 Adobe DRM
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