An exotic characterization of a commutative H*-algebra
Commutative H*-algebra is characterized in terms of the property that the orthogonal complement of a right ideal is a left ideal.
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200003793 |
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| _version_ | 1832568001465942016 |
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| author | Parfeny P. Saworotnow |
| author_facet | Parfeny P. Saworotnow |
| author_sort | Parfeny P. Saworotnow |
| collection | DOAJ |
| description | Commutative H*-algebra is characterized in terms of the
property that the orthogonal complement of a right ideal is a left
ideal. |
| format | Article |
| id | doaj-art-6984f084fff04ef9a056b2eadf186f74 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6984f084fff04ef9a056b2eadf186f742025-02-03T00:59:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-012411410.1155/S0161171200003793An exotic characterization of a commutative H*-algebraParfeny P. Saworotnow0Department of Mathematics, Catholic University of America, Washington DC 20064, USACommutative H*-algebra is characterized in terms of the property that the orthogonal complement of a right ideal is a left ideal.http://dx.doi.org/10.1155/S0161171200003793Hilbert algebracommutative H*-algebraright complemented algebraright annihilatorleft annihilatorJacobson radical semi-simplicityleft projection. |
| spellingShingle | Parfeny P. Saworotnow An exotic characterization of a commutative H*-algebra International Journal of Mathematics and Mathematical Sciences Hilbert algebra commutative H*-algebra right complemented algebra right annihilator left annihilator Jacobson radical semi-simplicity left projection. |
| title | An exotic characterization of a commutative
H*-algebra |
| title_full | An exotic characterization of a commutative
H*-algebra |
| title_fullStr | An exotic characterization of a commutative
H*-algebra |
| title_full_unstemmed | An exotic characterization of a commutative
H*-algebra |
| title_short | An exotic characterization of a commutative
H*-algebra |
| title_sort | exotic characterization of a commutative h algebra |
| topic | Hilbert algebra commutative H*-algebra right complemented algebra right annihilator left annihilator Jacobson radical semi-simplicity left projection. |
| url | http://dx.doi.org/10.1155/S0161171200003793 |
| work_keys_str_mv | AT parfenypsaworotnow anexoticcharacterizationofacommutativehalgebra AT parfenypsaworotnow exoticcharacterizationofacommutativehalgebra |