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math.OA2012
The linear span of projections in AH algebras and for inclusions of C*-algebras
Dinh Trung Hoa, Toan Minh Ho, Hiroyuki Osaka
A -algebra is said to have the LP property if the linear span of projections is dense in a given algebra. In the first part of this paper, we show that an AH algebra $A = \und…
math.FA2012
Characterization of the monotonicity by the inequality
Dinh Trung Hoa, Hiroyuki Osaka, Jun Tomiyama
Let be a normal state on the algebra of all bounded operators on a Hilbert space , a strictly positive, continuous function on , and let be a fun…
math.OA2012
On generalized Powers-Strmer's Inequality
Dinh Trung Hoa, Hiroyuki Osaka, Ho Minh Toan
A generalization of Powers-Strmer's inequality for operator monotone functions on and for positive linear functional on general -algebras will be proved. It…