khatri-rao products for operator matrices acting on the direct sum of hilbert spaces
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2016
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Abstract
We introduce the notion of Khatri-Rao product for operator matrices acting on the direct sum of Hilbert spaces. This notion generalizes the tensor product and Hadamard product of operators and the Khatri-Rao product of matrices. We investigate algebraic properties, positivity, and monotonicity of the Khatri-Rao product. Moreover, there is a unital positive linear map taking Tracy-Singh products to Khatri-Rao products via an isometry.
| Reference Key |
ploymukda2016journalkhatri-rao
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|---|---|
| Authors | ;Arnon Ploymukda;Pattrawut Chansangiam |
| Journal | molecular imaging and radionuclide therapy |
| Year | 2016 |
| DOI |
10.1155/2016/8301709
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