Around the Furuta inequality—the operator inequalities(AB2A)¾≤ABA≤A3

Derming Wang
1995 International Journal of Mathematics and Mathematical Sciences  
For positive operatorsAandBwithAinvertible it is shown that(AB2A)½≤A2implies(AB2A)¾≤ABA. The inequalities in the title for0≤B≤Aare then derived as a conquence.
doi:10.1155/s0161171295000263 fatcat:k3sslhmz5veutfpxxrinjrwfoy