Quadratic operator inequalities and linear-fractional relations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Quadratic operator inequalities and linear-fractional relations

Authors:	V. A. Khatskevich M. I. Ostrovskii V. S. Shulman

Affiliation:	(1) Department of Math. And Comp., Sci. St.-John’s University, USA;(2) Department of Math., ORT Braude College, Israel;(3) Department of Mathematics, Vologda Polytechnical Institute, Russia

Abstract:	We study properties of solution sets of inequalities of the form $X^* AX + B^* X + X^* B + C leqslant 0,$ , where A, B, and C are bounded Hilbert space operators and A and C are self-adjoint. The following properties are considered: closedness and inferior points in Standard operator topologies, convexity, and nonemptiness.

Keywords:	Hilbert space bounded linear operator weak operator topology operator inequality
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