Notes on the Brown-Douglas-Fillmore Theorem - Sameer Chavan, Gadadhar Misra

Notes on the Brown-Douglas-Fillmore Theorem

Buch | Hardcover
200 Seiten
2021
Cambridge University Press (Verlag)
978-1-316-51930-1 (ISBN)
118,45 inkl. MwSt
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.
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.

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.

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.

Erscheinungsdatum
Reihe/Serie Cambridge IISc Series
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 192 x 248 mm
Gewicht 600 g
Themenwelt Mathematik / Informatik Mathematik Geschichte der Mathematik
Naturwissenschaften
ISBN-10 1-316-51930-9 / 1316519309
ISBN-13 978-1-316-51930-1 / 9781316519301
Zustand Neuware
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