Overview

This important work provides a comprehensive overview of the properties of Banach spaces related to strict convexity and a survey of significant applications—uniting a wealth of information previously scattered throughout the mathematical literature in a well-organized, accessible format.

Introduction to the Subject

After introducing the subject through a discussion of the basic results of linear functional analysis, this unique book proceeds to investigate the characteristics of strictly convex spaces and related classes, including uniformly convex spaces, and examine important applications regarding approximation theory and fixed point theory.

Extended Treatment and Applications

Following this extensive treatment, the book discusses complex strictly convex spaces and related spaces—also with applications. Complete, clearly elucidated proofs accompany results throughout the book, and ample references are provided to aid further research of the subject.

Target Audience and Value

Strict Convexity and Complex Strict Convexity is essential for mathematicians and students interested in the geometric theory of Banach spaces and applications to approximation theory and fixed point theory, and is of great value to engineers working in optimization studies. In addition, this volume serves as an excellent text for a graduate course in Geometric Theory of Banach Spaces.