History of Functional Analysis

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Hardbound.

Author(s): Jean Dieudonné (Eds.)
Series: North-Holland Mathematics Studies 49
Edition: 1st repr. 1983
Publisher: North Holland
Year: 1981

Language: English
Pages: iii-iv, 1-312
Tags: Математика;Функциональный анализ;

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