Let V be an n-dim real Hilbert space, J a self-adjoint operator with char poly (x-1)^⌈n/2⌉ * (x+1)^⌊n/2⌋, and v the sum of the 1-eigenvectors (each scaled to length sqrt(2), except for 1 if n is odd, which is scaled to length 1). Consider {T | Tv=(T^*)v=tr(T)v, tr(T)=tr(JT)}.
3:47 PM - 20 Jan 2018
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