Roth, Walter
Operator-valued measures and integrals for cone-valued functions [Documento electrónico] / Walter Roth. - Berlin, Heidelberg : Springer Berlin Heidelberg , 2009 . - (Lecture Notes in Mathematics) 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-540-87565-9
Integração
Conjuntos convexos
Espaços vetoriais
LCC QA312
Operator-valued measures and integrals for cone-valued functions [Documento electrónico] / Walter Roth. - Berlin, Heidelberg : Springer Berlin Heidelberg , 2009 . - (Lecture Notes in Mathematics) 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-540-87565-9
Integração
Conjuntos convexos
Espaços vetoriais
LCC QA312
