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REAL TOMITA-TAKESAKI THEORY |
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| Authors: | LI Bingren |
| Institution: | Academia Sinica, Beijing 100080, China |
| Abstract: | Tomita-Takesaki theory in the real case is considered. The author introduces the conception of a nondegenerate pair of closed subspaces in a real Hilbert space. Then a satisfactory real Tomita-Takesaki theory is obtained, and it seems to be a special result of the complex case. |
| Keywords: | Tomita-Takesaki theory Non-degenerate pair Unitary involution Modular operator |
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