History of Functional Analysis

Jean Dieudonné (Eds.)0444861483, 9780444861481, 9780080871608

Table of contents :
Content:
Edited by
Page iii

Copyright page
Page iv

Introduction
Pages 1-8

Chapter I Linear Differential Equations and the Sturm-Liouville Problem
Pages 9-21

Chapter II The “Crypto-Integral” Equations
Pages 22-46

Chapter III The Equation of Vibrating Membranes
Pages 47-70

Chapter IV The Idea of Infinite Dimension
Pages 71-96

Chapter V The Crucial Years and the Definition of Hilbert Space
Pages 97-120

Chapter VI Duality and the Definition of Normed Spaces
Pages 121-143

Chapter VII Spectral Theory After 1900
Pages 144-209

Chapter VIII Locally Convex Spaces and the Theory of Distributions
Pages 210-232

Chapter IX Applications of Functional Analysis to Differential and Partial Differential Equations
Pages 233-279

References
Pages 280-298

Author Index
Pages 299-305

Subject Index
Pages 306-312