Status: Bibliographieeintrag
Standort: ---
Exemplare:
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| Online-Ressource |
Verfasst von: | Gwiazda, Piotr [VerfasserIn]  |
| Marciniak-Czochra, Anna [VerfasserIn]  |
| Thieme, Horst R. [VerfasserIn]  |
Titel: | Measures under the flat norm as ordered normed vector space |
Verf.angabe: | Piotr Gwiazda, Anna Marciniak-Czochra, Horst R. Thieme |
Jahr des Originals: | 2017 |
Umfang: | 34 S. |
Fussnoten: | Gesehen am 28.06.2018 ; Published online: 25 May 2017 |
Titel Quelle: | Enthalten in: Positivity |
Jahr Quelle: | 2018 |
Band/Heft Quelle: | 22(2018), 1, S. 105-138 |
ISSN Quelle: | 1572-9281 |
Abstract: | The space of real Borel measures M(S)M(S)\mathcal {M}(S) on a metric space S under the flat norm (dual bounded Lipschitz norm), ordered by the cone M+(S)M+(S)\mathcal {M}_+(S) of nonnegative measures, is considered from an ordered normed vector space perspective in order to apply the well-developed theory of this area. The flat norm is considered in place of the variation norm because subsets of M+(S)M+(S)\mathcal {M}_+(S) are compact and semiflows on M+(S)M+(S)\mathcal {M}_+(S) are continuous under much weaker conditions. In turn, the flat norm offers new challenges because M(S)M(S)\mathcal {M}(S) is rarely complete and M+(S)M+(S)\mathcal {M}_+(S) is only complete if S is complete. As illustrations serve the eigenvalue problem for bounded additive and order-preserving homogeneous maps on M+(S)M+(S)\mathcal {M}_+(S) and continuous semiflows. Both topics prepare for a dynamical systems theory on M+(S)M+(S)\mathcal {M}_+(S). |
DOI: | doi:10.1007/s11117-017-0503-z |
URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Verlag: http://dx.doi.org/10.1007/s11117-017-0503-z |
| Verlag: https://link.springer.com/article/10.1007/s11117-017-0503-z |
| Verlag: https://link.springer.com/content/pdf/10.1007%2Fs11117-017-0503-z.pdf |
| DOI: https://doi.org/10.1007/s11117-017-0503-z |
Datenträger: | Online-Ressource |
Sprache: | eng |
K10plus-PPN: | 1561837393 |
Verknüpfungen: | → Zeitschrift |
Measures under the flat norm as ordered normed vector space / Gwiazda, Piotr [VerfasserIn] (Online-Ressource)
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