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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)].

MSC:

47B44 Linear accretive operators, dissipative operators, etc.
47A63 Linear operator inequalities
47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)

Citations:

Zbl 0487.47007
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