On the geometry of positive maps in matrix algebras. II (Q1103157)
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scientific article; zbMATH DE number 4052325
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the geometry of positive maps in matrix algebras. II |
scientific article; zbMATH DE number 4052325 |
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On the geometry of positive maps in matrix algebras. II (English)
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1985
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Geometric relations among the identity map, the transpose map, and the map \(\tau_ 0(x)=(1/n)Tr(x)1_ n\) in the matrix algebra \(M_ n\) are illustrated, providing parametric examples of maps which are not \(k+1\)-positive but which satisfy the matrix Schwartz inequality of order k for \(1\leq k\leq n-1\). [For part I see Math. Z. 184, 101-108 (1983; Zbl 0511.46050).]
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matrix algebra
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matrix Schwartz inequality
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