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Majorization, range inclusion, and factorization for bounded linear operators

Author(s): Bruce A. Barnes
Journal: Proc. Amer. Math. Soc. 133 (2005), 155-162.
MSC (2000): Primary 47A05
Posted: June 2, 2004
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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: 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
Posted: June 2, 2004
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2004, American Mathematical Society


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