%0 Journal Article %T Remarks on Schr£żdinger operators with singular matrix potentials %A Vladimir Mikhailets %A Volodymyr Molyboga %J Mathematics %D 2013 %I arXiv %X In this paper the asymmetric generalization of the Glazman-Povzner-Wienholtz theorem is proved for one-dimensional Schr\"{o}dinger operators with strongly singular matrix potentials from the space $H_{loc}^{-1}(\mathbb{R}, \mathbb{C}^{m\times m})$. This result is new in the scalar case as well. %U http://arxiv.org/abs/1306.0439v1