Operator-Valued Measures and Integrals for Cone-Valued Functions [[electronic resource] /] / by Walter Roth
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| Autore: |
Roth Walter
|
| Titolo: |
Operator-Valued Measures and Integrals for Cone-Valued Functions [[electronic resource] /] / by Walter Roth
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009 |
| Edizione: | 1st ed. 2009. |
| Descrizione fisica: | 1 online resource (X, 356 p.) |
| Disciplina: | 515.42 |
| Soggetto topico: | Measure theory |
| Functional analysis | |
| Measure and Integration | |
| Functional Analysis | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references (p. 345-352) and index. |
| Nota di contenuto: | Locally Convex Cones -- Measures and Integrals. The General Theory -- Measures on Locally Compact Spaces. |
| Sommario/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. |
| Titolo autorizzato: | Operator-valued measures and integrals for cone-valued functions |
| ISBN: | 3-540-87565-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466523603316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1964