Elements of geometry of balls in Banach spaces [electronic resource] / Kazimierz Goebel and Stanisław Prus, Maria Curie-Skłowdowska University, Lublin, Poland
Basics and prerequisites -- Low dimensional spaces -- Strict and uniform convexity -- Smoothness and uniform smoothness -- Uniform smoothness vs uniform convexity -- Projections on balls and convex sets -- More moduli and coefficients -- Radius vs diameter -- Three special topics -- Measures of noncompactness and related properties -- The case of Banach lattices.