Abstract
It is proved that {Δ2+κ|x|−4;κ∈∑c} in L2(ℝN) forms a holo-morphic family of type (A), where ∑ is a closed and convex subset of ℂ. In particular, the m-accretivity of Δ2+κ|x|−4 in L2(ℝN) is established as an application of the perturbation theorem for linear m-accretive operators. The key lies in two inequalities derived by positive semi-definiteness of Gram matrix.
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