| Autor: |
Inoue, Atsushi, Ueda, Hideyuki, Yamauchi, Toshiyuki |
| Předmět: |
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| Zdroj: |
Journal of Mathematical Physics; Jan1987, Vol. 28 Issue 1, p1, 7p |
| Abstrakt: |
The first purpose of this paper is to show that for each Op*-algebra (M,D) whose weak commutant M’w is an algebra, there exists a closed Op*-algebra (M,D), which is the smallest extension of (M,D) satisfying Mw =M’w and Mw D =D. The second purpose is to characterize an unbounded bicommutant M‘wσ of an Op*-algebra M. The third purpose is to generalize the well-known Radon–Nikodym theorem for von Neumann algebras to Op*-algebras M satisfying the von Neumann density type theorem M t*s =M‘wσ. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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