On convexity and smoothness of Banach space
Józef Banaś, Andrzej Hajnosz, Stanisław Wędrychowicz (1990)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “An inequality between the James and James type constants in Banach spaces”
On convexity and smoothness of Banach space
The James constant of normalized norms on .
Nilsrakoo, Weerayuth, Saejung, Satit (2006)
Journal of Inequalities and Applications [electronic only]
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Estimates for Kottman's separation constant in reflexive Banach spaces
Elisabetta Maluta, Pier Luigi Papini (2009)
Colloquium Mathematicae
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In reflexive Banach spaces with some degree of uniform convexity, we obtain estimates for Kottman's separation constant in terms of the corresponding modulus.
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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.
A class of spaces lacking normal structure
W. L. Bynum (1972)
Compositio Mathematica
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Convexity around the Unit of a Banach Algebra
Kadets, Vladimir, Katkova, Olga, Martín, Miguel, Vishnyakova, Anna (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary: 46B20. Secondary: 46H99, 47A12. We estimate the (midpoint) modulus of convexity at the unit 1 of a Banach algebra A showing that inf {max±||1 ± x|| − 1 : x ∈ A, ||x||=ε} ≥ (π/4e)ε²+o(ε²) as ε → 0. We also give a characterization of two-dimensional subspaces of Banach algebras containing the identity in terms of polynomial inequalities.
Some properties of Pythagorean modulus.
Wang, Fenghui (2007)
Journal of Inequalities and Applications [electronic only]
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A nearly uniformly convex space which is not a -space
Denka Kutzarova (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Geometric properties of normed spaces and estimates for rectangular modulus.
Şerb, Ioan (2001)
Mathematica Pannonica
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On two classes of Banach spaces with uniform normal structure
Ji Gao, Ka-Sing Lau (1991)
Studia Mathematica
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A modulus for property (β) of Rolewicz
J. Ayerbe, T. Domínguez Benavides, S. Cutillas (1997)
Colloquium Mathematicae
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We define a modulus for the property (β) of Rolewicz and study some useful properties in fixed point theory for nonexpansive mappings. Moreover, we calculate this modulus in spaces for the main measures of noncompactness.