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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| Autore principale: | |
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| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2009. |
| Serie: | Lecture Notes in Mathematics
1964 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
| Riassunto: | 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. |
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| Descrizione del documento: | Description d'apès consultation du 13 janvier 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783540875659 |
| ISSN: | 1617-9692 |
| Accesso: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |