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A review: The arrangement increasing partial ordering

✍ Scribed by Jee Soo Kim; Frank Proschan


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
980 KB
Volume
22
Category
Article
ISSN
0305-0548

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We present a description of a partial ordering of the complex full symmetric group algebra, CSm, via generalized matrix functions, dr(A), defined on the set of all m x m complex matrices A. We show that for f: S,~ --\* C, if dr(A) = 0 for all positive semidefinite Hermitian matrices A, then f = 0. T