Relation between Two Operator Inequalities and

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We shall show relation between two operator inequalities and for positive, invertible operators *A* and *B*, where *f* and *g* are non-negative continuous invertible
functions on satisfying *f(t)g(t)=t*^{-1} .

References

[1] Ito, M. and Yamazaki, T. (2002) Relations between Two Inequalities and and Their Applications. Integral Equations and Operator Theory, 44, 442-450.

http://dx.doi.org/10.1007/BF01193670

[2] Yamazaki, T. and Yanagida, M. (to appear) Relations between Two Operator Inequalities and Their Application to Paranormal Operators. Acta Scientiarum Mathematicarum (Szeged).

[3] Ito, M. (2005) Relations between Two Operator Inequalities Motivated by the Theory of Operator Means. Integral Equations and Operator Theory, 53, 527-534.

http://dx.doi.org/10.1007/s00020-004-1321-9

[4] Furuta, T. (1987) Assures for with. Proceedings of the American Mathematical Society, 101, 85-88.

[5] Furuta, T. (1992) Applications of Order Preserving Operator Inequalities. Operator Theory: Advances and Applications, 59, 180-190.