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Convergence of Greedy Algorithms in Banach Spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Livshits, Evgenii Davidovich |
| Copyright Year | 2003 |
| Abstract | We study the convergence of greedy algorithms in Banach spaces. We construct an example of a smooth Banach space, where the X-greedy algorithm converges not for all dictionaries and initial vectors. We also study the R-greedy algorithm, which, along with the X-greedy algorithm, is a generalization of the simple greedy algorithm in Hilbert space. We prove its convergence for a certain class of Banach spaces. In particular, this class contains, the spaces ℓp,p≥ 2. |
| Starting Page | 342 |
| Ending Page | 358 |
| Page Count | 17 |
| File Format | PDF HTM / HTML |
| DOI | 10.1023/A:1023261910883 |
| Volume Number | 73 |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1023/A:1023261910883 |
| Alternate Webpage(s) | https://doi.org/10.1023/A%3A1023261910883 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
