Bitraces on Partial O*-Algebras
Unbounded bitraces on partial O*-algebras are considered, a class of ideals defined by them is exhibited, and several relationships between certain commutants, bicommutants, and tricommutants associated with the *-representations and *-antirepresentations determined by the bitraces are established....
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/43013 |
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| Summary: | Unbounded bitraces on partial O*-algebras are considered, a class of ideals defined by them is exhibited, and several relationships between certain commutants, bicommutants, and tricommutants associated with the *-representations and *-antirepresentations determined by the bitraces are established. Moreover, a notion of a partial W*-algebra of unbounded densely defined linear maps on a Hilbert space,
as a generalization of a W*-algebra, is introduced and a set of criteria for classifying such algebras by means of the type of bitraces that are defined on them is proposed. |
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| ISSN: | 0161-1712 1687-0425 |