Zeitschrift für Analysis und ihre Anwendungen
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Classes of Multiplication Operators and Their Limit OperatorsM. Lindner (1) Fakultät für Mathematik, Technische Universität Chemnitz, Reichenhainer Strasse 39, D-09107, CHEMNITZ, GERMANY
Limit operators have proven to be a device for the study of several properties of an operator including Fredholmness and invertibility at infinity, but also the applicability of approximation methods. For band-dominated operators, the question of existence and structure of their limit operators essentially reduces to the study of multiplication operators and their limit operators, which is the topic of this paper.
Keywords: Limit operator, multiplication operator, band-dominated operator
Lindner M. Classes of Multiplication Operators and Their Limit Operators. Z. Anal. Anwend. 23 (2004), 187-204. doi: 10.4171/ZAA/1193