Determination of a neighborhood of the imaginary axis which is disjoint from the spectrum of a real polynomial

The distance of the spectrum of f from the imaginary axis is estimated for a real polynomial with roots in the right (or as a corollary, in the left) half plane: f:min Resp(f) –1/tr(H₁H¹ > 0 where a _n+i–2j]i, j=1,n] andH ₁:=a _k]K:=n+i+2j+1 i, j=1,nTranslated from Matematicheskie Zametki, Vol. 22, No. 2, pp. 161–166, August, 1977.In conclusion, the author thanks S. M. Lozinskii for assistance.