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

Explores the interrelationships between the abstract theory of limit operators and the concepts and results of the generalised collectively compact operator theory introduced by Chandler-Wilde and Zhang (2002). It also explores bounded linear operators on the generalised sequence space $\ell^p(\mathbb{Z}^N,U)$, where $p\in [1,\infty]$ and $U$ is some complex Banach space.