scholarly journals A sharp converse inequality of three weightedv arithmetic and geometric means of positive definite operators

2009 ◽  
pp. 519-523
Author(s):  
Sejong Kim ◽  
Hosoo Lee ◽  
Yongdo Lim
Keyword(s):  
Positive Definite ◽  
Geometric Means ◽  
Positive Definite Operators ◽  
Converse Inequality

scholarly journals Some trace inequalities for operators

1995 ◽  
Vol 58 (2) ◽  
pp. 281-286 ◽  
Author(s):  
Xinmin Yang
Keyword(s):  
Positive Definite ◽  
Positive Definite Operators ◽  
Open Question ◽  
Trace Inequalities ◽  
Inequalities For Operators

AbstractIn this paper, we obtain some trace inequalities for arbitrary finite positive definite operators. Finally an open question is presented.

scholarly journals Maps on positive definite operators preserving the quantum $$\chi _\alpha ^2$$ χ α 2 -divergence

2017 ◽  
Vol 107 (12) ◽  
pp. 2267-2290 ◽  
Author(s):  
Hong-Yi Chen ◽  
György Pál Gehér ◽  
Chih-Neng Liu ◽  
Lajos Molnár ◽  
Dániel Virosztek ◽  
...  
Keyword(s):  
Positive Definite ◽  
Positive Definite Operators

scholarly journals Multi-variable weighted geometric means of positive definite matrices

2011 ◽  
Vol 435 (2) ◽  
pp. 307-322 ◽  
Author(s):  
Hosoo Lee ◽  
Yongdo Lim ◽  
Takeaki Yamazaki
Keyword(s):  
Positive Definite ◽  
Positive Definite Matrices ◽  
Geometric Means
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