Applications of Functional Analysis and Operator Theory

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Hutson
Academic Press, Feb 1, 1980 - Computers - 388 pages
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Contents

Chapter 1 Banach Spaces
1
Chapter 2 Lebesgue Integration and the Lp Spaces
37
Chapter 3 Foundations of Linear Operator Theory
62
Chapter 4 Introduction to Nonlinear Operators
108
Chapter 5 Compact Sets in Banach Spaces
138
Chapter 6 The Adjoint Operator
148
Chapter 7 Linear Compact Operators
178
Chapter 8 Nonlinear Compact Operators and Monotonicity
204
Chapter 11 Linear Elliptic Partial Differential Equations
283
Chapter 12 The Finite Element Method
311
Chapter 13 Introduction to Degree Theory
325
Chapter 14 Bifurcation Theory
348
Problems
368
References
371
List of Symbols
377
Index
381

Chapter 9 The Spectral Theorem
226
Chapter 10 Generalized Eigenfunction Expansions Associated with Ordinary Differential Equations
251

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