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.
Cite this article
M. Lindner, Classes of Multiplication Operators and Their Limit Operators. Z. Anal. Anwend. 23 (2004), no. 1, pp. 187–204DOI 10.4171/ZAA/1193