Most likely balls in Banach spaces: existence and nonexistence
- We establish a general criterion for the existence of convex sets of fixed shape as, for example, balls of a given radius, of maximal probability on Banach spaces. We also provide counterexamples, showing that their existence may fail even in some common situations.
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| Author: | Bernd SchmidtGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1123877 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/112387 |
| ISSN: | 0024-6093OPAC |
| ISSN: | 1469-2120OPAC |
| Parent Title (English): | Bulletin of the London Mathematical Society |
| Publisher: | Wiley |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2024 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2024/04/05 |
| Tag: | General Mathematics |
| DOI: | https://doi.org/10.1112/blms.13025 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Nichtlineare Analysis | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Latest Publications (not yet published in print): | Aktuelle Publikationen (noch nicht gedruckt erschienen) |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
