On the operator equation AX-XB=C
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908611153756160 |
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| author | Mecheri, Salah Bachie, Ahmed Segress, A. |
| author_facet | Mecheri, Salah Bachie, Ahmed Segress, A. |
| contents | This work studies how certain problems in quantum theory have motivated some recent research in pure Mathematics in matrix and operator theory. The mathematical key is that of a commutator or a generalized commutator, that is, find an operator $X\in B(H)$ satisfying the operator equation $AX - XB = C$. By this we will show how and why to solve the operator equation $AX - XB = C$. As application we recall the solurion of $AXB-CXD=E$ and we use the solution of this equation to solve equation of Monkeypox Diseases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21752 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the operator equation AX-XB=C Mecheri, Salah Bachie, Ahmed Segress, A. Functional Analysis This work studies how certain problems in quantum theory have motivated some recent research in pure Mathematics in matrix and operator theory. The mathematical key is that of a commutator or a generalized commutator, that is, find an operator $X\in B(H)$ satisfying the operator equation $AX - XB = C$. By this we will show how and why to solve the operator equation $AX - XB = C$. As application we recall the solurion of $AXB-CXD=E$ and we use the solution of this equation to solve equation of Monkeypox Diseases. |
| title | On the operator equation AX-XB=C |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2510.21752 |