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A partial ordering of CSm defined by the generalized matrix functions

✍ Scribed by Jun Wu

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
238 KB
Volume
257
Category
Article
ISSN
0024-3795

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✦ Synopsis

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. Thus we can build up a partial ordering for CS m.

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