Extensions of the results on powers of -hyponormal and -hyponormal operators.
On class operators and quasisimilarity.
Powers of class operators.
On estimates of the generalized Jordan--von Neumann constant of Banach spaces.
A characterization of chaotic order.
An inequality between the James and James type constants in Banach spaces
We consider the James and Schäffer type constants recently introduced by Takahashi. We prove an equality between James (resp. Schäffer) type constants and the modulus of convexity (resp. smoothness). By using these equalities, we obtain some estimates for the new constants in terms of the James constant. As a result, we improve an inequality between the Zbăganu and James constants.
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