The linear polarization constant of R n |
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| Authors: | Máté Matolcsi |
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| Affiliation: | (1) Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, P.O.B. 127, H-1364 Budapest |
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| Abstract: | Summary He present work deals with estimations of the n-th linear polarization constant c(H)n of an n-dimensional real Hilbert space H. We provide some new lower bounds on the value of sup║y║=1 │1,y> ... n,y>│, where x1, ... ,xn are unit vectors in H. In particular, the results improve an earlier estimate of Marcus. However, the intriguing conjecture c(H) n= nn/2 remains open. |
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| Keywords: | polynomials over normed spaces linear polarization constants Gram matrices |
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