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Malcolm Brown, Ian Wood, Mark Malamud, Martin Klaus, Vadim Mogilevskii","submitted_at":"2017-12-29T08:04:11Z","abstract_excerpt":"We consider a non-selfadjoint Dirac-type differential expression\n  \\begin{equation} D(Q)y:= J_n \\frac{dy}{dx} + Q(x)y, \\quad\\quad\\quad (1)\n  \\end{equation} with a non-selfadjoint potential matrix $Q \\in L^1_{loc}({\\mathcal I},\\mathbb{C}^{n\\times n})$ and a signature matrix $J_n =-J_n^{-1} = -J_n^*\\in \\mathbb{C}^{n\\times n}$. Here ${\\mathcal I}$ denotes either the line $\\mathbb{R}$ or the half-line $\\mathbb{R}_+$. With this differential expression one associates in $L^2(\\mathcal I,\\mathbb{C}^{n})$ the (closed) maximal and minimal operators $D_{\\max}(Q)$ and $D_{\\min}(Q)$, respectively. 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Malcolm Brown, Ian Wood, Mark Malamud, Martin Klaus, Vadim Mogilevskii","submitted_at":"2017-12-29T08:04:11Z","abstract_excerpt":"We consider a non-selfadjoint Dirac-type differential expression\n  \\begin{equation} D(Q)y:= J_n \\frac{dy}{dx} + Q(x)y, \\quad\\quad\\quad (1)\n  \\end{equation} with a non-selfadjoint potential matrix $Q \\in L^1_{loc}({\\mathcal I},\\mathbb{C}^{n\\times n})$ and a signature matrix $J_n =-J_n^{-1} = -J_n^*\\in \\mathbb{C}^{n\\times n}$. Here ${\\mathcal I}$ denotes either the line $\\mathbb{R}$ or the half-line $\\mathbb{R}_+$. With this differential expression one associates in $L^2(\\mathcal I,\\mathbb{C}^{n})$ the (closed) maximal and minimal operators $D_{\\max}(Q)$ and $D_{\\min}(Q)$, respectively. 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