Fishman, Lior, Simmons, David S. orcid.org/0000-0002-9136-6635 and Urbański, Mariusz (2014) Diophantine approximation in Banach spaces. Journal de Théorie des Nombres de Bordeaux. pp. 363-384. ISSN: 1246-7405
Abstract
In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions. Moreover, we discuss Dirichlet-type theorems in a very general framework and define what it means for such a theorem to be optimal. We show that optimality is implied by but does not imply the existence of badly approximable points.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | This is an author produced version of a paper accepted for publication in Journal de Théorie des Nombres de Bordeaux. Uploaded in accordance with the publisher's self-archiving policy. |
| Keywords: | math.NT |
| Dates: |
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| Institution: | The University of York |
| Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
| Depositing User: | Pure (York) |
| Date Deposited: | 16 Nov 2015 13:38 |
| Last Modified: | 16 Sep 2025 23:48 |
| Status: | Published |
| Refereed: | Yes |
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:91008 |

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