Abstract

It is shown that 1/2 is the exact upper bound on the difference ∑ k = 1 n | x k | 2 | y k | 2 − | ∑ k = 1 n x k y k | 2 for any unit vectors x = ( x 1 , … , x n ) and y = ( y 1 , … , y n ) in C n .

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