Displaying similar documents to “Estimates for Kottman's separation constant in reflexive Banach spaces”

An inequality between the James and James type constants in Banach spaces

Fenghui Wang, Changsen Yang (2010)

Studia Mathematica

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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.

On the geometry of Banach spaces with modulus of convexity of power type 2

M. Ivanov, A. J. Pallares, S. Troyanski (2010)

Studia Mathematica

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We use one-dimensional differential inequalities to estimate the squareness and type of Banach spaces with modulus of convexity of power type two. The estimates obtained are sharp and the constants involved moderate.