Chandler-Wilde, Simon N.

Limit Operators, Collective Compactness, and the Spectral Theory of Infinite Matrices. - 1st ed. - 1 online resource (126 pages) - Memoirs of the American Mathematical Society ; v.210 . - Memoirs of the American Mathematical Society .

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.

9781470406066


Fredholm operators.
Compact operators.
Infinite matrices.
Spectral theory (Mathematics).


Electronic books.

QA329.2 -- .C53 2010eb

515.7246