Tsirelson's Constant
نویسنده
چکیده
sgn(z) = ( 1 if Re(z) > 0, −1 if Re(z) < 0 for z ∈ C lying off the imaginary axis. Next, the matrix sign function is given by sgn(M) = U sgn(Λ)U−1 where M ∈ C n×n is a Hermitian matrix with no eigenvalues on the imaginary axis. The unitary n×n matrix U has column vectors equal to the orthonormal eigenvector basis of C n determined byM , and the diagonal n×n matrix Λ has components equal to the (real) eigenvalues of M :
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