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On a representation of commuting maps by tensor products - MaRDI portal

On a representation of commuting maps by tensor products (Q5961699)

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scientific article; zbMATH DE number 982593
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On a representation of commuting maps by tensor products
scientific article; zbMATH DE number 982593

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    On a representation of commuting maps by tensor products (English)
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    28 September 1997
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    The authors show that a pair of commuting linear maps on an \(n\)-dimensional vector space can be represented by tensor products on a vector space of dimension \(n^2\). It is illustrated with the help of an example that \(n^2\) is the minimal possible degree for such a representation.
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    commuting operators
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    representation
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    commuting linear maps
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    tensor products
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