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Limit operators, collective compactness, and the spectral theory of infinite matrices

Limit operators, collective compactness, and the spectral theory of infinite matrices

In the first half of this text we explore the interrelationships between the abstract theory of limit operators (see e.g. the recent monographs of Rabinovich, Roch & Silbermann and Lindner) and the concepts and results of the generalised collectively compact operator theory introduced by Chandler-Wilde and Zhang. We build up …