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The conditions being necessary and sufficient for maximal accretivity and maximal nonnegativity of some closed linear operators in Hilbert space are announced. The following problem is proposed: write down these conditions in more convenient form (one of the admissible variants is indicated).doi:10.30970/ms.54.1.107-108 fatcat:qpfyoeefnbhyxdoj2yxai4xnfq