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...
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| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2009. |
| Edice: | Lecture Notes in Mathematics
1964 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Description d'apès consultation du 13 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Operator-valued measures and integrals for cone-valued functions, Walter Roth, Berlin, Springer, 2009, 1 vol. (X-356 p.), Lecture notes in mathematics, 978-3-540-87564-2 • Operator-Valued Measures and Integrals for Cone-Valued Functions, Texte imprimé, 9783540875901 • Operator-valued measures and integrals for cone-valued functions, Walter Roth, Berlin, Springer, 2009, 1 vol. (X-356 p.), Lecture notes in mathematics, 978-3-540-87564-2 |
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| 245 | 1 | 0 | |a Operator-valued measures and integrals for cone-valued functions |c Walter Roth. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
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| 490 | 0 | |a Lecture Notes in Mathematics |v 1964 |x 1617-9692 | |
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| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Locally Convex Cones Measures and Integrals. The General Theory Measures on Locally Compact Spaces. | |
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| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 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 | |a Mesures vectorielles | ||
| 650 | |a Fonctions d'ensemble | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Théorie de la mesure | ||
| 776 | 0 | |0 131231383 |t Operator-valued measures and integrals for cone-valued functions |f Walter Roth |c Berlin |n Springer |d 2009 |p 1 vol. (X-356 p.) |s Lecture notes in mathematics |z 978-3-540-87564-2 | |
| 776 | 0 | |t Operator-Valued Measures and Integrals for Cone-Valued Functions |b Texte imprimé |z 9783540875901 | |
| 776 | 0 | |0 131231383 |t Operator-valued measures and integrals for cone-valued functions |f Walter Roth |c Berlin |n Springer |d 2009 |p 1 vol. (X-356 p.) |s Lecture notes in mathematics |z 978-3-540-87564-2 | |
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