ℓp(p > 2) Does Not Coarsely Embed into a Hilbert Space
We show that a Banach space with a normalized symmetric basis behaving like that of ℓp(p > 2) cannot coarsely embed into a Hilbert space.
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2006-04, Vol.134 (4), p.1045-1050 |
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| container_issue | 4 |
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| container_title | Proceedings of the American Mathematical Society |
| container_volume | 134 |
| creator | Johnson, William B. N. Lovasoa Randrianarivony |
| description | We show that a Banach space with a normalized symmetric basis behaving like that of ℓp(p > 2) cannot coarsely embed into a Hilbert space. |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0002-9939 |
| ispartof | Proceedings of the American Mathematical Society, 2006-04, Vol.134 (4), p.1045-1050 |
| issn | 0002-9939 1088-6826 |
| language | eng |
| recordid | cdi_jstor_primary_4098068 |
| source | American Mathematical Society Publications (Freely Accessible); JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; American Mathematical Society Publications; EZB-FREE-00999 freely available EZB journals |
| subjects | Banach space College mathematics Embeddings Hilbert spaces Mathematical functions Mathematical theorems Symmetry |
| title | ℓp(p > 2) Does Not Coarsely Embed into a Hilbert Space |
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