Journal of Inequalities and Applications 
Volume 3 (1999), Issue 3, Pages 293-302
doi:10.1155/S102558349900020X

Extensions of Heinz–Kato–Furuta inequality, II

Masatoshi Fujii1 and Ritsuo Nakamoto2

 1Department of Mathematics, Osaka Kyoiku University, Kashiwara, Osaka 582-8582, Japan
2Faculty of Engineering, Ibaraki University, Hitachi, Ibaraki 316-0033, Japan
Received 4 April 1998; Revised 15 July 1998

Abstract

In our preceding note, we discussed a generalized Schwarz inequality, an improvement of the Heinz–Kato–Furuta inequality and an inequality related to the Furuta inequality. In succession, we give further discussions on them from the viewpoint of the covariance–variance inequality and the chaotic order. Finally, we consider a relation between our improvement and Wielandt’s theorem.