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Methods of Intermediate Problems for Eigenvalues: Theory and Ramifications

✍ Scribed by Alexander Weinstein and William Stenger (Eds.)


Publisher
Academic Press, Elsevier
Year
1972
Leaves
239
Series
Mathematics in Science and Engineering 89
Category
Library

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✦ Table of Contents


Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Page ix

Acknowledgments
Page xi

Introduction
Pages 1-3

Chapter One The Variational Characterization of Eigenvalues
Pages 4-9

Chapter Two The Rayleigh-Ritz Method
Pages 10-22

Chapter Three The Classical Maximum-Minimum Theory and Its Extension to Unbounded Operators
Pages 23-35

Chapter Four Intermediate Problems of The First Type
Pages 36-78

Chapter Five Intermediate Problems of The Second Type
Pages 79-106

Chapter Six Various Other Methods and Their Connections with Intermediate Problems
Pages 107-122

Chapter Seven The New Maximum-Minimum Theory
Pages 123-145

Chapter Eight Inequalities for Eigenvalues of Parts and Projections of Operators
Pages 146-165

Chapter Nine Intermediate Problems and Perturbation Theory
Pages 166-180

Appendix A
Pages 181-192

Appendix B
Pages 193-220

Bibliography
Pages 221-231

Notation Index
Page 233

Subject Index
Pages 234-236


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