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Rotundity redux
Published online by Cambridge University Press: 09 April 2009
Abstract
Recently the concept of uniform rotundity was generalized for real Banach spaces by using a type of “area” devised for these spaces. This paper modifies the methods used for uniform rotundity and applies them to weak rotundity in real and complex spaces. This leads to the definition of k-smoothness, k-very smoothness and k-strong smoothness. As an application, several sufficient conditions for reflexivity are obtained.
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- Research Article
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- Copyright © Australian Mathematical Society 1985