Loading...
Please wait, while we are loading the content...
Similar Documents
Monge–Kantorovich Norms on Spaces of Vector Measures
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chitescu, Ion Ioana, Loredana Miculescu, Radu Nita, Lucian |
| Copyright Year | 2014 |
| Abstract | One considers Hilbert space valued measures on the Borel sets of a compact metric space. A natural numerical valued integral of vector valued continuous functions with respect to vector valued measures is defined. Using this integral, different norms (we called them Monge–Kantorovich norm, modified Monge–Kantorovich norm and Hanin norm) on the space of measures are introduced, generalizing the theory of (weak) convergence for probability measures on metric spaces. These norms introduce new (equivalent) metrics on the initial compact metric space. |
| Starting Page | 349 |
| Ending Page | 371 |
| Page Count | 23 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s00025-016-0531-1 |
| Volume Number | 70 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1404.4980v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s00025-016-0531-1 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
