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| REAL TOMITA-TAKESAKI THEORY |
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Citation： |
LI Bingren.REAL TOMITA-TAKESAKI THEORY[J].Chinese Annals of Mathematics B,1999,20(4):401~406 |
| Page view： 1043
Net amount： 820 |
Authors： |
LI Bingren; |
Foundation： |
Project supported by the National Natural Science Foundation of China and the Laboratory of Mathematics for Nonlinear Sciences at Fudan University. |
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| 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 |
Classification： |
46L10 |
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