Applications of Functional Analysis and Operator Theory [2nd ed] 9780080527314, 9780444517906, 0444517901

Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The prese

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Applications of Functional Analysis and Operator Theory [2nd ed]
 9780080527314, 9780444517906, 0444517901

Table of contents :
Content:
Preface
Pages v-vii
V. Hutson, J.S. Pym, M.J. Cloud

Acknowledgements
Page ix

Chapter 1 Banach spaces Original Research Article
Pages 1-38

Chapter 2 Lebesgue integration and the ℳp spaces Original Research Article
Pages 39-64

Chapter 3 Foundations of linear operator theory Original Research Article
Pages 65-113

Chapter 4 Introduction to nonlinear operators Original Research Article
Pages 115-146

Chapter 5 Compact sets in Banach spaces Original Research Article
Pages 147-156

Chapter 6 The adjoint operator Original Research Article
Pages 157-187

Chapter 7 Linear compact operators Original Research Article
Pages 189-215

Chapter 8 Nonlinear compact operators and monotonicity Original Research Article
Pages 217-239

Chapter 9 The spectral theorem Original Research Article
Pages 241-268

Chapter 10 Generalized eigenfunction expansions associated with ordinary differential equations Original Research Article
Pages 269-301

Chapter 11 Linear elliptic partial differential equations Original Research Article
Pages 303-342

Chapter 12 The finite element method Original Research Article
Pages 343-357

Chapter 13 Introduction to degree theory Original Research Article
Pages 359-383

Chapter 14 Bifurcation theory Original Research Article
Pages 385-407

References Original Research Article
Pages 409-416

List of symbols
Pages 417-420

Index
Pages 421-426

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