A class of spaces lacking normal structure
W. L. Bynum (1972)
Compositio Mathematica
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Displaying similar documents to “On convexity and smoothness of Banach space”
A class of spaces lacking normal structure
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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.
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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.