Algebraic, order, and analytic properties of Tracy-Singh sums for Hilbert space operators
We introduce the Tracy-Singh sum for operators on a Hilbert space, generalizing both the Tracy-Singh sum for matrices and the tensor sum for operators. The Tracy-Singh sum is shown to be compatible with algebraic operations and order relations. Then we establish a binomial theorem involving Tracy-...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Prince of Songkla University
2019-08-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | https://rdo.psu.ac.th/sjstweb/journal/41-4/2.pdf |