Point spectrum of singular non-selfadjoint differential operators (Q1178114)

The aim of the paper is to give conditions guaranteeing the absence of eigenvalues embedded in the continuous spectrum for one-dimensional differential operators. A typical result is the following: Let \(H=D^ 2+q_ 1(x)D+q_ 0(x)\) in the space \(L_ p(0,\infty)\), \(1\leq p<\infty\). Suppose that \((1+x)^{1+\varepsilon}q_ k(x)\in L_ \infty(0,\infty)\), \(k=0,1\). Then \((0,\infty)\cap\sigma_ p(H)=\emptyset\).