Upper and Lower Bounds for Noncommutative Perspectives of Operator Monotone Functions: the Case of Second Variable

2021 ◽  
Author(s):  
Silvestru Sever Dragomir
Keyword(s):  
Lower Bounds ◽  
Upper And Lower Bounds ◽  
Monotone Functions ◽  
Operator Monotone ◽  
Operator Monotone Functions

scholarly journals Kwong matrices and operator monotone functions on $(0,1)$

2014 ◽  
Vol 5 (1) ◽  
pp. 121-127 ◽  
Author(s):  
Juri Morishita ◽  
Takashi Sano ◽  
Shintaro Tachibana
Keyword(s):  
Monotone Functions ◽  
Operator Monotone ◽  
Operator Monotone Functions

scholarly journals Strengthened convexity of positive operator monotone decreasing functions

2020 ◽  
Vol 126 (3) ◽  
pp. 559-567
Author(s):  
Megumi Kirihata ◽  
Makoto Yamashita
Keyword(s):  
Logarithmic Function ◽  
Monotone Functions ◽  
Real Numbers ◽  
Positive Real ◽  
Positive Maps ◽  
Operator Monotone ◽  
Strengthened Form ◽  
Operator Monotone Functions ◽  
Positive Functions ◽  
Decreasing Functions

We prove a strengthened form of convexity for operator monotone decreasing positive functions defined on the positive real numbers. This extends Ando and Hiai's work to allow arbitrary positive maps instead of states (or the identity map), and functional calculus by operator monotone functions defined on the positive real numbers instead of the logarithmic function.

scholarly journals A new class of operator monotone functions via operator means

2016 ◽  
Vol 64 (12) ◽  
pp. 2463-2473 ◽  
Author(s):  
Rajinder Pal ◽  
Mandeep Singh ◽  
Mohammad Sal Moslehian ◽  
Jaspal Singh Aujla
Keyword(s):  
Monotone Functions ◽  
New Class ◽  
Operator Monotone ◽  
Operator Means ◽  
Operator Monotone Functions
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