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Operator-Valued Measures and Integrals for Cone-Valued Functions
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, w...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2009.
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| Edición: | 1st ed. 2009. |
| Colección: | Lecture Notes in Mathematics,
1964 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 024 | 7 | |a 10.1007/978-3-540-87565-9 |2 doi | |
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| 100 | 1 | |a Roth, Walter. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Operator-Valued Measures and Integrals for Cone-Valued Functions |h [electronic resource] / |c by Walter Roth. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2009. | |
| 300 | |a X, 356 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1964 | |
| 505 | 0 | |a Locally Convex Cones -- Measures and Integrals. The General Theory -- Measures on Locally Compact Spaces. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Measure theory. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Measure and Integration. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783540875901 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540875642 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1964 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-540-87565-9 |z Texto Completo |
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| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||