Characterizations of inner product spaces by strongly convex functions

Functional equations in several variables: with applications to mathematics, information theory, and to the natural and social sciences

Choice Reviews Online · 1989 · 867 citations

Natural Sciences, Mathematics, Differential Equations +15

On Inner Products in Linear, Metric Spaces

Annals of Mathematics · 1935 · 384 citations · Full text

Natural Sciences, Mathematics, Algebra +9

Strong convexity of sets and functions

Jean-Philippe Vial · Journal of Mathematical Economics · 1982 · 138 citations

Natural Sciences, Mathematics, Optimization +10

A characterization of inner product spaces related to the p-angular distance

Farzad Dadipour, Mohammad Sal Moslehian · Journal of Mathematical Analysis and Applications · 2010 · 21 citations

Natural Sciences, Mathematics, Topology +8

CHARACTERIZATIONS OF INNER PRODUCT SPACES (Operator Theory: Advances and Applications 20)

A. L. Brown · Bulletin of the London Mathematical Society · 1987 · 21 citations

Natural Sciences, Electrical Engineering, Representation Theory +11