History of Banach Spaces and Linear Operators

• Main Author: Pietsch, Albrecht (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2007.
• Subjects: Mathematics.; Functional analysis.; Operator theory.; History.; History of Mathematical Sciences.; Functional Analysis.; Operator Theory.

Named for Banach, one of the great mathematicians of the twentieth century, the concept of Banach spaces figures prominently in the study of functional analysis with applications to integral and differential equations, approximation theory, harmonic analysis, convex geometry, numerical mathematics,...

Table of Contents:

• The Birth of Banach Spaces
• Historical Roots and Basic Results
• Topological Concepts — Weak Topologies
• Classical Banach Spaces
• Basic Results from the Post-Banach Period
• Modern Banach Space Theory — Selected Topics
• Miscellaneous Topics
• Mathematics Is Made by Mathematicians.