Invertibility and Singularity for Bounded Linear Operators

Invertibility and Singularity for Bounded Linear Operators

by Robin Harte

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Product Details

ISBN-13: 9780486810300
Publisher: Dover Publications
Publication date: 10/20/2016
Series: Dover Books on Mathematics Series
Edition description: Reprint
Pages: 624
Product dimensions: 6.00(w) x 8.90(h) x 1.40(d)

About the Author

Robin Harte received his PhD from the University of Cambridge and taught at the University Colleges of Swansea and Cork in addition to visiting the universities of Iowa, Fairbanks, Lille, and Mexico. He remains loosely affiliated with Trinity College, Dublin, and is the author of Spectral Mapping Theorems: A Bluffer's Guide.

Table of Contents

Prologue
Preface
1. Normed Linear Spaces
2. Bounded Linear Operators
3. Invertibility and Singularity
4. Banach Spaces and Completeness
5. Linear Functions and Duality
6. Finite Dimensional Spaces and Compactness
7. Operator Algebra nand Commutivity
8. Inner Products and Orthogonality
9. Liouville's Theorem and Spectral Theory
10. Comparisons of Operators and Exactness
11. Multiparameter Spectral Theory
Epilogue
Notes, Comments, and Exercises
References
Notation
Index

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