Notes on the Brown-Douglas-Fillmore Theorem

Erscheinungsjahr 2021
ISBN: 978-1-316-51930-1
Verlag: Cambridge University Press

Buch, Englisch, 200 Seiten, Format (B × H): 196 mm x 250 mm, Gewicht: 600 g

Reihe: Cambridge IISc Series

Suitable for both postgraduate students and researchers in the field of operator theory, this book is an excellent resource providing the complete proof of the Brown-Douglas-Fillmore theorem. The book starts with a rapid introduction to the standard preparatory material in basic operator theory taught at the first year graduate level course. To quickly get to the main points of the proof of the theorem, several topics that aid in the understanding of the proof are included in the appendices. These topics serve the purpose of providing familiarity with a large variety of tools used in the proof and adds to the flexibility of reading them independently.

Autoren/Hrsg.

Chavan, Sameer

Misra, Gadadhar

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik

Inhaltsverzeichnis

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.

Über Autor(innen)

Misra, Gadadhar
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.

Chavan, Sameer
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.