Limit Operators, Collective Compactness, and the Spectral Theory of Infinite Matrices.

Intro -- Contents -- Chapter 1. Introduction -- 1.1. Overview -- 1.2. A Brief History -- 1.3. Summary and the Main New Results -- Chapter 2. The Strict Topology -- Chapter 3. Classes of Operators -- 3.1. Compactness and Collective Compactness on (Y,s) -- 3.2. Algebraic Properties -- Chapter 4. Notions of Operator Convergence -- Chapter 5. Key Concepts and Results -- 5.1. Invertibility at Infinity and Fredholmness -- 5.2. A Generalised Collectively Compact Operator Theory -- 5.3. Limit Operators -- 5.4. Collective Compactness and the Operator Spectrum -- Chapter 6. Operators on p(ZN,U) -- 6.1. Periodic and Almost Periodic Operators -- 6.2. Dual Space Arguments -- 6.3. Band-Dominated Operators -- 6.4. Almost Periodic Band-Dominated Operators -- 6.5. The Wiener Algebra -- Chapter 7. Discrete Schrödinger Operators -- Chapter 8. A Class of Integral Operators -- Chapter 9. Some Open Problems -- Bibliography -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.