Classes of Multiplication Operators and Their Limit Operators | Zendy

Marko Lindner | Zendy

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Classes of Multiplication Operators and Their Limit Operators

Author(s) -

Marko Lindner

Publication year - 2004

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1193

Subject(s) - multiplication (music) , limit (mathematics) , operator theory , mathematics , computer science , arithmetic , algebra over a field , pure mathematics , mathematical analysis , combinatorics

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.

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