Quadratic inequalities for Hilbert space operators

被引：6
|
作者：
Khatskevich, V. A.
Ostrovskii, M. I.
Shulman, V. S.
机构：
[1] ORT Braude Coll, Dept Math, IL-21982 Karmiel, Israel
[2] St Johns Univ, Dept Math & Comp Sci, Jamaica, NY 11439 USA
[3] Vologda State Tech Univ, Dept Math, Vologda 160000, Russia
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2007年 / 59卷 / 01期
关键词：
Hilbert space; bounded linear operator; weak operator topology; operator inequalities;
D O I：
10.1007/s00020-007-1511-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Properties of sets of solutions to inequalities of the form X* AX + B* X + X* B + C <= 0 are studied, where A, B, C are bounded Hilbert space operators, A and C are self-adjoint. Properties under consideration: closeness and interior points in standard operator topologies, convexity, non-emptiness.
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页码：19 / 34
页数：16
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