|
|||||
|
|
Reflection symmetry and symmetrizability of Hilbert space operators |
|
| Authors: | Zoltá n Sebestyé n Jan Stochel |
| Affiliation: | Department of Applied Analysis, Eötvös University, H-1117 Budapest, Pázmány Péter sétány 1/c, Hungary ; Instytut Matematyki, Uniwersytet Jagiellonski, Reymonta 4, 30-059 Kraków, Poland |
| Abstract: | A general factorization theorem for symmetrizable operators relating their spectra to spectra of selfadjoint operators induced by minimal factorizations is established. Its modified version essentially improves and completes a theorem of Jorgensen, which concerns diagonalizing operators with reflection symmetry. |
| Keywords: | Operators in Hilbert space de Branges space factorizations of operator products symmetrizable operators operators with reflection symmetry |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |