A Buzano type inequality for two Hermitian forms and applications

被引:4
作者
Dragomir, S. S. [1 ,2 ]
机构
[1] Victoria Univ, Coll Engn & Sci, Dept Math, Melbourne, Vic, Australia
[2] Univ Witwatersrand, Sch Comp Sci & Appl Math, Johannesburg, South Africa
关键词
Schwarz inequality; Buzano inequality; Hermitian forms; inner products; bounded linear operators; norm and numerical radius inequalities; INNER-PRODUCT SPACES; SCHWARZ INEQUALITY; REVERSES;
D O I
10.1080/03081087.2016.1194365
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A Buzano type inequality for two nonnegative Hermitian forms is obtained. Applications to inequalities for norm and numerical radius of bounded linear operators in complex Hilbert spaces are given.
引用
收藏
页码:514 / 525
页数:12
相关论文
共 27 条
[1]  
[Anonymous], 1997, NUMERICAL RANGE
[2]  
[Anonymous], 2012, OPERATOR INEQUALITIE
[3]  
Buzano ML., 1974, Rend. Semin. Mat. Univ. Politech. Torino, V31, P405
[4]  
Dragomir S., 1994, CONTRIBUTIONS MACEDO, V15, P5
[5]  
Dragomir SS, 2008, TAMKANG J MATH, V39, P1
[6]   Some inequalities for power series of selfadjoint operators in Hilbert spaces via reverses of the Schwarz inequality [J].
Dragomir, S. S. .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (10) :757-767
[7]  
Dragomir S.S., 2008, RGMIA RES REP COLL, V11
[8]  
Dragomir S. S., 2007, DEMONSTRATIO MATH, V40, P411
[9]  
DRAGOMIR S. S., 1990, P 3 S MATH ITS APPL, P75
[10]  
Dragomir S. S., 2008, RGMIA RES REP COLL, V11