Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces
| dc.contributor.author | Arnon Ploymukda | |
| dc.contributor.author | Pattrawut Chansangiam | |
| dc.date.accessioned | 2025-07-21T05:56:38Z | |
| dc.date.issued | 2016-01-01 | |
| dc.description.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. | |
| dc.identifier.doi | 10.1155/2016/8301709 | |
| dc.identifier.uri | https://dspace.kmitl.ac.th/handle/123456789/5592 | |
| dc.subject | Isometry (Riemannian geometry) | |
| dc.subject | Operator (biology) | |
| dc.subject.classification | Matrix Theory and Algorithms | |
| dc.title | Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces | |
| dc.type | Article |