|
|
Relation between Two Operator Inequalities
|
Abstract:
We shall show relation between two operator inequalities ![\"\"](\"Edit_6f0d6697-ea22-49c2-8c9b-d0d2ecb054a7.bmp\")
？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 .
| [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. |
