A GRUSS TYPE OPERATOR INEQUALITY

被引:1
作者
Bottazzi, T. [1 ]
Conde, C. [1 ,2 ]
机构
[1] Inst Argentino Matemat Alberto P Caldero, Saavedra 15,3 Piso,C1083ACA, Buenos Aires, DF, Argentina
[2] Univ Nacl Gen Sarmiento, Inst Ciencias, JM Gutierrez 1150,B1613GSX, Los Polvorines, Argentina
关键词
Gruss inequality; variance; trace inequality; distance formula;
D O I
10.1215/20088752-3764566
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In 2001, Renaud obtained a Gruss type operator inequality involving the usual trace functional. In this article, we give a refinement of that result, and we answer positively Renaud's open problem.
引用
收藏
页码:124 / 132
页数:9
相关论文
共 12 条
[1]   Variance bounds, with an application to norm bounds for commutators [J].
Audenaert, Koenraad M. R. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (05) :1126-1143
[2]  
Dragomir S. S., 1985, S MAT APL TIM ROM 1, V1-2, P13
[3]  
GEVORGYAN L. Z., 2010, DOKL NATS AKAD NAUK, V110, P97
[4]  
Gohberg I. C., 1969, TRANSLATIONS MATH MO, V18
[6]   CLASS OF NORMALOID OPERATORS [J].
ISTRATESCU, VI .
MATHEMATISCHE ZEITSCHRIFT, 1972, 124 (03) :199-+
[7]   GRUSS INEQUALITY FOR SOME TYPES OF POSITIVE LINEAR MAPS [J].
Matharu, Jagjit Singh ;
Moslehian, Mohammad Sal .
JOURNAL OF OPERATOR THEORY, 2015, 73 (01) :265-278
[8]  
ORCK G. BJ, 1963, Arkiv Math, V4, P551
[9]  
Paul K., 1999, Sci. Math., V2, P119
[10]  
PRASANNA S., 1981, Math. Japon., V26, P585