On generalizations of Gowers norms and their geometry
| dc.creator | Hatami, Hamed | |
| dc.date | 2009-03-18 | |
| dc.date.accessioned | 2026-07-07T12:53:50Z | |
| dc.date.available | 2026-07-07T12:53:50Z | |
| dc.description | Motivated by the definition of the Gowers uniformity norms, we introduce and study a wide class of norms. Our aim is to establish them as a natural generalization of the $L_p$ norms. We shall prove that these normed spaces share many of the nice properties of the $L_p$ spaces. Some examples of these norms are $L_p$ norms, trace norms $S_p$ when $p$ is an even integer, and Gowers uniformity norms. Every such norm is defined through a pair of weighted hypergraphs. In regard to a question of Laszlo Lovasz, we prove several results in the direction of characterizing all hypergraph pairs that correspond to norms. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/0903.3237 | |
| dc.identifier | http://arxiv.org/abs/0903.3237 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223757 | |
| dc.subject | Combinatorics | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B20, 46E30, 05D99 | |
| dc.title | On generalizations of Gowers norms and their geometry | |
| dc.type | text |