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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832563011120791552 |
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| author | G. O. S. Ekhaguere |
| author_facet | G. O. S. Ekhaguere |
| author_sort | G. O. S. Ekhaguere |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-53e41f3832b649c1a407be845a37b43e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-53e41f3832b649c1a407be845a37b43e2025-02-03T01:21:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/4301343013Bitraces on Partial O*-AlgebrasG. O. S. Ekhaguere0Mathematics Section, The Abdus Salam International Centre for Theoretical Physics, P. O. Box 586, Miramare, Trieste 34014, ItalyUnbounded 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.http://dx.doi.org/10.1155/2007/43013 |
| spellingShingle | G. O. S. Ekhaguere Bitraces on Partial O*-Algebras International Journal of Mathematics and Mathematical Sciences |
| title | Bitraces on Partial O*-Algebras |
| title_full | Bitraces on Partial O*-Algebras |
| title_fullStr | Bitraces on Partial O*-Algebras |
| title_full_unstemmed | Bitraces on Partial O*-Algebras |
| title_short | Bitraces on Partial O*-Algebras |
| title_sort | bitraces on partial o algebras |
| url | http://dx.doi.org/10.1155/2007/43013 |
| work_keys_str_mv | AT gosekhaguere bitracesonpartialoalgebras |