On a result by Meshulam
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915736444731392 |
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| author | Bauschke, Heinz H. Tung, Tran Thanh |
| author_facet | Bauschke, Heinz H. Tung, Tran Thanh |
| contents | In 1996, Meshulam proved that every sequence generated by applying projections onto affine subspaces, drawn from a finite collection in Euclidean space, must be bounded.
In this paper, we extend his result not only from affine subspaces to convex polyhedral subsets, but also from Euclidean to general Hilbert space. Various examples are provided to illustrate the sharpness of the results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_22553 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a result by Meshulam Bauschke, Heinz H. Tung, Tran Thanh Optimization and Control Numerical Analysis Functional Analysis 47H09, 65K05, 90C25 (Primary) 52A37, 52B55 (Secondary) In 1996, Meshulam proved that every sequence generated by applying projections onto affine subspaces, drawn from a finite collection in Euclidean space, must be bounded. In this paper, we extend his result not only from affine subspaces to convex polyhedral subsets, but also from Euclidean to general Hilbert space. Various examples are provided to illustrate the sharpness of the results. |
| title | On a result by Meshulam |
| topic | Optimization and Control Numerical Analysis Functional Analysis 47H09, 65K05, 90C25 (Primary) 52A37, 52B55 (Secondary) |
| url | https://arxiv.org/abs/2506.22553 |