A solution to the polarization problem
classification
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math.CAmath.MG
keywords
polarizationproblemballconfigurationsconfirmconjectureconjecturedconsequences
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In this paper we solve the polarization problem for real Hilbert spaces, a long-standing conjecture that had remained open for nearly three decades. We also confirm that the only extremal configurations are orthonormal sets. These are consequences of our proof of a stronger statement conjectured by Ball.
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