Infinite Matrices and their Finite Sections: An Introduction to the Limit Operator Method

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Convergence Analysis of the Finite Section Method and Banach Algebras of Matrices (2010, methodology): “Similar “block-diagonal” operators appear under the name stacked operators in [22, 23, 19], where they are used to prove convergence of a finite section method for band-dominated operators.”
Finite sections of band-dominated operators (2007, unknown): “:For much more on this topic, we refer to the recent textbook [1].”
An affirmative answer to a core issue on limit operators (2014, background): “[48, 41, 42, 40, 23, 27, 51, 52, 53, 49], again the books [16, 17, 43, 25, 47, 10] and the references cited there).”