Kazimierz Goebel, Stanisław Prus
Abstract
Abstract The aim of the chapter is to present duality between uniform convexity and uniform smoothness. Lindenstrauss formulas relating moduli of convexity and smoothness are discussed as the main tool. A section deals with the notion of noncreasy and uniformly noncreasy spaces.
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Abstract The aim of the chapter is to present duality between uniform convexity and uniform smoothness. Lindenstrauss formulas relating moduli of convexity and smoothness are discussed as the main tool. A section deals with the notion of noncreasy and uniformly noncreasy spaces.
Key concepts: Convexity, Smoothness, Mathematics, Moduli, Duality (order theory), Section (typography), Mathematical analysis, Pure mathematics