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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Majorization, range inclusion, and factorization for bounded linear operators


Author: Bruce A. Barnes
Journal: Proc. Amer. Math. Soc. 133 (2005), 155-162
MSC (2000): Primary 47A05
Published electronically: June 2, 2004
MathSciNet review: 2085164
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Abstract: In this paper, relationships among the concepts, majorization, range inclusion, and factorization, are studied in a general setting for bounded linear operators. Some applications of these concepts are given.


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Additional Information

Bruce A. Barnes
Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
Email: barnes@darkwing.uoregon.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07495-7
PII: S 0002-9939(04)07495-7
Keywords: Bounded linear operator, majorization, range inclusion, factorization
Received by editor(s): August 1, 2003
Received by editor(s) in revised form: September 9, 2003
Published electronically: June 2, 2004
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2004 American Mathematical Society