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.

引用

页码：19 / 34

页数：16

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