Functional Analysis

Front Cover
New Age International, 1996 - Functional analysis - 612 pages
2 Reviews
This Book Is An Introductory Text Written With Minimal Prerequisites. The Plan Is To Impose A Distance Structure On A Linear Space, Exploit It Fully And Then Introduce Additional Features Only When One Cannot Get Any Further Without Them. The Book Naturally Falls Into Two Parts And Each Of Them Is Developed Independently Of The Other The First Part Deals With Normed Spaces, Their Completeness And Continuous Linear Maps On Them, Including The Theory Of Compact Operators. The Much Shorter Second Part Treats Hilbert Spaces And Leads Upto The Spectral Theorem For Compact Self-Adjoint Operators. Four Appendices Point Out Areas Of Further Development.Emphasis Is On Giving A Number Of Examples To Illustrate Abstract Concepts And On Citing Varirous Applications Of Results Proved In The Text. In Addition To Proving Existence And Uniqueness Of A Solution, Its Apprroximate Construction Is Indicated. Problems Of Varying Degrees Of Difficulty Are Given At The End Of Each Section. Their Statements Contain The Answers As Well.
 

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Hai my name is Abhijith,iam from kerala,India.This book was very useful to me for completing my project in the topic "Normed Spaces"...

Contents

Preliminaries
1
Fundamentals of Normed Spaces
62
Bounded Linear Maps on Banach Spaces
138
Spaces of Bounded Linear Functionals
216
Compact Operators on Normed Spaces
302
Geometry of Hilbert Spaces
367
Bounded Operators on Hilbert Spaces
441
Appendix A Fixed Points
528
Appendix B Extreme Points
541
SturmLiouville Problems
553
Unbounded Operators and Quantum Mechanics
571
Bibliography
591
List of Symbols
597
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