Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498541 | Linear Algebra and its Applications | 2005 | 29 Pages |
Abstract
The structure of a linear relation (multivalued operator) in a Euclidean space is completely determined. A linear relation can be written as a direct sum of three relations of different classes, which are Jordan relations, completely singular relations and multishifts. All three classes of relations are characterized in terms of the spectrum and their chain structure, which leads to a generalization of the classical Jordan canonical form.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Adrian Sandovici, Henk de Snoo, Henrik Winkler,