On two classes of Banach spaces with uniform normal structure
Ji Gao, Ka-Sing Lau (1991)
Studia Mathematica
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Displaying similar documents to “Estimates for Kottman's separation constant in reflexive Banach spaces”
On two classes of Banach spaces with uniform normal structure
A nearly uniformly convex space which is not a -space
Denka Kutzarova (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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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.
On convexity and smoothness of Banach space
Józef Banaś, Andrzej Hajnosz, Stanisław Wędrychowicz (1990)
Commentationes Mathematicae Universitatis Carolinae
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Drop property equals reflexivity
V. Montesinos (1987)
Studia Mathematica
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Banach Spaces Determined by Their Uniform Structures.
W.B. Johnson, J. Lindenstrauss (1996)
Geometric and functional analysis
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