Translatable radii of an operator in the direction of another operator. (English) Zbl 0952.47032
The author introduces translatable radii of an operator \(T\) corresponding to the norm in the direction of another operator \(A\) and generalizes an inequality developed by M. Fujii and S. Prasanna [Math. Jap. 26, 653-657 (1981; see Zbl 0487.47007)].
Reviewer: Michael Perelmuter (Kyïv)
MSC:
47B44 | Linear accretive operators, dissipative operators, etc. |
47A63 | Linear operator inequalities |
47B15 | Hermitian and normal operators (spectral measures, functional calculus, etc.) |