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2021 ◽  
Vol 88 (3) ◽  
pp. 383-398
Author(s):  
SHUZHOU WANG ◽  
ZHENHUA WANG
Keyword(s):  


2021 ◽  
Vol 609 ◽  
pp. 163-175
Author(s):  
Mitsuru Uchiyama




2020 ◽  
Vol 607 ◽  
pp. 29-44
Author(s):  
Rute Lemos ◽  
Graça Soares
Keyword(s):  


2020 ◽  
Vol 11 (4) ◽  
pp. 1203-1219
Author(s):  
Trung Hoa Dinh ◽  
Hiroyuki Osaka ◽  
Shuhei Wada
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2020 ◽  
Vol 365 ◽  
pp. 107038 ◽  
Author(s):  
Fumio Hiai ◽  
Yongdo Lim


2020 ◽  
Vol 126 (1) ◽  
pp. 82-98
Author(s):  
Hamed Najafi

In this paper, we extend the Kubo-Ando theory from operator means on C$^{*}$-algebras to a Hermitian Banach $*$-algebra $\mathcal {A}$ with a continuous involution. For this purpose, we show that if $a$ and $b$ are self-adjoint elements in $\mathcal {A}$ with spectra in an interval $J$ such that $a \leq b$, then $f(a) \leq f(b)$ for every operator monotone function $f$ on $J$, where $f(a)$ and $f(b)$ are defined by the Riesz-Dunford integral. Moreover, we show that some convexity properties of the usual operator convex functions are preserved in the setting of Hermitian Banach $*$-algebras. In particular, Jensen's operator inequality is presented in these cases.



2020 ◽  
Vol 5 (3) ◽  
pp. 680-713 ◽  
Author(s):  
Fumio Hiai




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