Schrödinger operators with measure-valued potentials: semiboundedness and spectrum

Vladimir Mikhailets, Volodymyr Molyboga

We study the 1-D Schrödinger operators in Hilbert space $L^2(\mathbb{R})$ with real-valued Radon measure $q^{\prime }(x)$, $q\in {\mathrm{BV}}_{loc}(\mathbb{R})$ as potentials. New sufficie…