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
Partial order relation generated by distributions of the number of occupied cells
β Scribed by A. M. Zubkov; N. N. Popov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1982
- Tongue
- English
- Weight
- 247 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
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In this paper a new variant of the Choquet-Deny theorem is obtained and used to prove a characterization of the uniform distribution based on spacings of generalized order statistics. This result extends two recent characterizations of the uniform distribution.