Geodesic
Furuta Type Inequalities Dealing with Pedersen-Takesaki Type Operator Equations
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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In this paper, we study the existence of solutions of some Pedersen-Takesaki type operator equations via Furuta type inequalities. Firstly, we investigate characterizations of operator order $A\geqslant B$ and chaotic operator order log $A \geqslant$ log $B$ for positive definite operators $A$ and $B$ in terms of Pedersen-Takesaki type operator equations, which extend the related results before. Finally, we give some applications of complete form of Furuta inequality to Pedersen-Takesaki type operator equations and prove the related characterizations of the solutions.
Classification : 47A63 
@article{BMMS_2013_36_3_a11,
     author = {Jian Shi and Zongsheng Gao},
     title = {Furuta {Type} {Inequalities} {Dealing} with {Pedersen-Takesaki} {Type} {Operator} {Equations}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a11/}
}
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AU  - Jian Shi
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TI  - Furuta Type Inequalities Dealing with Pedersen-Takesaki Type Operator Equations
JO  - Bulletin of the Malaysian Mathematical Society
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VL  - 36
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a11/
ID  - BMMS_2013_36_3_a11
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%A Zongsheng Gao
%T Furuta Type Inequalities Dealing with Pedersen-Takesaki Type Operator Equations
%J Bulletin of the Malaysian Mathematical Society
%D 2013
%V 36
%N 3
%U http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a11/
%F BMMS_2013_36_3_a11
Jian Shi; Zongsheng Gao. Furuta Type Inequalities Dealing with Pedersen-Takesaki Type Operator Equations. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a11/