Linear polarization constant of $\R^n$
| dc.creator | Matolcsi, Mate | |
| dc.date | 2006-11-30 | |
| dc.date.accessioned | 2026-07-07T07:33:32Z | |
| dc.date.available | 2026-07-07T07:33:32Z | |
| dc.description | The present work contributes to the determination of the $n$-th linear polarization constant $c_n(H)$ of an $n$-dimensional real Hilbert space $H$. We provide some new lower bounds on the value of $\sup_{\|y\|=1}| x_1,y >... x_n,y |$, where $x_1, ..., x_n$ are unit vectors in $H$. In particular, the results improve an earlier estimate of Marcus. However, the intriguing conjecture $c_n(H)=n^{n/2}$ remains open. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611946 | |
| dc.identifier | http://arxiv.org/abs/math/0611946 | |
| dc.identifier | Acta Math. Hungar. 108 (2005), no. 1-2, 129--136 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119489 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 46G25, 52A40, 46B07 | |
| dc.title | Linear polarization constant of $\R^n$ | |
| dc.type | text |