Notes on the Brown-Douglas-Fillmore Theorem

The book discusses the complete proof of the Brown-Douglas-Fillmore theorem along with a number of its applications.

List of contents

Preface; Overview; 1. Spectral Theory for Hilbert Space Operators; 2. Ext(X) as a Semigroup with Identity; 3. Splitting and the Mayer-Vietoris Sequence; 4. Determination of Ext(X); 5. Applications to Operator Theory; 6. Epilogue; Appendix A. Point Set Topology; Appendix B. Linear Analysis; Appendix C. The Spectral Theorem; Subject Index; Index of Symbols; References.

About the author

Sameer Chavan is Professor at the Department of Mathematics and Statistics, Indian Institute of Technology Kanpur. He works on function-theoretic and graph-theoretic operator theory. He was P. K. Kelkar Fellow for the period 2017–2020.Gadadhar Misra is Professor at the Department of Mathematics, Indian Institute of Science Bangalore. He works in complex geometry and operator theory. He was awarded the Shanti Swarup Bhatnagar Prize in 2001. He is a fellow of all the three science academies in India and is a J C Bose National Fellow.

Summary

An excellent resource for both postgraduate students and researchers in the field of mathematics, this book gives a complete proof of the Brown-Douglas-Fillmore theorem along with a number of its applications and several open problems.

Product details

• Authors: Sameer Chavan, Sameer (Indian Institute of Technology Chavan, Gadadhar Misra, Gadadhar (Indian Institute of Science Misra
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.07.2021
• EAN: 9781316519301
• ISBN: 978-1-316-51930-1
• No. of pages: 200
• Series: Cambridge Iisc; Cambridge IISc Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; MATHEMATICS / General, History of mathematics