Matolcsi, Máté (2005) The linear polarization constant of R^n. ACTA MATHEMATICA HUNGARICA, 108 (1-2). pp. 129-136. ISSN 0236-5294
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Abstract
The present work contributes to the determination of the n-th linear polarization constant cn(H) of an n-dimensional real Hilbert space H. We provide some new lower bounds on the value of supkyk=1 | hx1, yi · · · hxn, yi |, where x1, . . . , xn are unit vectors in H. In particular, the results improve an earlier estimate of Marcus. However, the intriguing conjecture cn(H) = nn/2 remains open.
| Item Type: | Article |
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| Uncontrolled Keywords: | Polynomials over normed spaces; Linear polarization constants; Gram matrices; Polynomials; Plank problem; Gram matrices |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 10 Dec 2013 14:15 |
| Last Modified: | 10 Dec 2013 14:17 |
| URI: | http://real.mtak.hu/id/eprint/7958 |
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