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Khatri-Rao sums for Hilbert space operators |
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| รหัสดีโอไอ | |
| Creator | 1. Arnon Ploymukda 2. Pattrawut Chansangiam |
| Title | Khatri-Rao sums for Hilbert space operators |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2561 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 40 |
| Journal No. | 3 |
| Page no. | 595 |
| Keyword | tensor product, Khatri-Rao product (sum), Tracy-Singh product (sum) |
| URL Website | http://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | We generalize the notions of Khatri-Rao sums for matrices and tensor sums for Hilbert space operators to KhatriRaosums for Hilbert space operators. This kind of operator sum is compatible with algebraic operations and order relations.We investigate its analytic properties, including continuity, convergence, and norm bounds. We also discuss the role ofselection operator that relates Khatri-Rao sums to Tracy-Singh sums and Khatri-Rao products. Binomial theorem involvingKhatri-Rao sums and its consequences are then established. |
