This important work provides a comprehensive overview of the
properties of Banachspaces related to strict convexity and a survey
of significant applications-uniting a wealthof information
previously scattered throughout the mathematical literature in a
well-organized,accessible format.After introducing the subject
through a discussion of the basic results of linear
functionalanalysis, this unique book proceeds to investigate the
characteristics of strictly convexspaces and related classes,
including uniformly convex spaces, and examine important
applicationsregarding approximation theory and fixed point theory.
Following this extensivetreatment, the book discusses complex
strictly convex spaces and related spaces- alsowith applications.
Complete, clearly elucidated proofs accompany results throughout
thebook, and ample references are provided to aid further research
of the subject.Strict Convexity and Complex Strict Convexity is
essential fot mathematicians and studentsinterested in geometric
theory of Banach spaces and applications to approximationtheory and
fixed point theory, and is of great value to engineers working in
optimizationstudies. In addition, this volume serves as an
excellent text for a graduate course inGeometric Theory of Banach
Spaces.
General
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