Question: Let f be a symmetric operator on a Euclidean space X. Let S be the unit sphere in X, that is S = {x

Let f be a symmetric operator on a Euclidean space X. Let S be the unit sphere in X, that is S = {x ∊ X: ||x|| = 1}, and define g: X × X → ℜ by
g(x, y) = (

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