Isometric Theory of Banach Spaces, and Fixed Point Theory

Pages:173-174
Gunjan Rana (Department of Mathematics, CMJ University, Shillong)

The isometric theory of Banach spaces was born and developed in inseparable connection with other areas of the Banach space theory. Many articles of this Handbook contain isometric and almost isometric results and problems. A remarkable result of Ball on the maximal volume of hyperplane sections of the unit cube in Rn; Burkholder’s martingale inequalities with exact constants, exact probabilistic estimates are just a few examples.