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Relaxed commutant lifting: Existence of a unique solution.

Source :
Proceedings of the American Mathematical Society. Mar2009, Vol. 137 Issue 8, p2697-2707. 11p.
Publication Year :
2009

Abstract

In this paper we present necessary and sufficient conditions for the existence of a unique solution to the relaxed commutant lifting problem. The obtained conditions are more complicated than those for the classical commutant lifting setting, and earlier obtained sufficient conditions turn out not to be necessary conditions. It is also shown that these conditions simplify in certain special cases. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*RELAXATION methods (Mathematics)
*OPERATOR theory
*LIFTING theory
*COMMUTATIVE algebra
*NUMERICAL analysis

Details

Language :
English
ISSN :
00029939
Volume :
137
Issue :
8
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
38330213
Full Text :
https://doi.org/10.1090/S0002-9939-09-09813-X
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