Matrix algebras with multiplicative decomposition property (Q624350)
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scientific article; zbMATH DE number 5848724
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Matrix algebras with multiplicative decomposition property |
scientific article; zbMATH DE number 5848724 |
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Matrix algebras with multiplicative decomposition property (English)
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9 February 2011
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The authors consider the multiplicative decomposition property (the multiplicative analogue of the Riesz decomposition property) for entry-wise ordered matrix algebras over the reals. They characterize for which matrix pairs such a decomposition exists and use this result to present necessary and sufficient conditions for a matrix algebra to enjoy the decomposition property by all its positive matrix pairs. Thus they describe all matrix algebras with the decomposition property.
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ordered algebras of matrices
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multiplicative decomposition
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Riesz decomposition
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