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.

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