A note on Riesz elements in C*-algebras
It is known that every Riesz operator R on a Hilbert space can be written R=Q+C, where C is compact and both Q and CQ-QC are quasinilpotent. This result is extended to a general C*-algebra setting.
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| Format: | Article |
| Language: | English |
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Wiley
1978-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171278000125 |
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| _version_ | 1832549482852515840 |
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| author | David Legg |
| author_facet | David Legg |
| author_sort | David Legg |
| collection | DOAJ |
| description | It is known that every Riesz operator R on a Hilbert space can be written R=Q+C, where C is compact and both Q and CQ-QC are quasinilpotent. This result is extended to a general C*-algebra setting. |
| format | Article |
| id | doaj-art-f213eecb55d34031b3d3ecf460d0f00f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1978-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f213eecb55d34031b3d3ecf460d0f00f2025-02-03T06:11:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251978-01-0111939610.1155/S0161171278000125A note on Riesz elements in C*-algebrasDavid Legg0Department of Mathematics, Indiana University-Purdue University, Fort Wayne, Indiana, USAIt is known that every Riesz operator R on a Hilbert space can be written R=Q+C, where C is compact and both Q and CQ-QC are quasinilpotent. This result is extended to a general C*-algebra setting.http://dx.doi.org/10.1155/S0161171278000125C* algebraquasinilpotent operatorsRiesz elements. |
| spellingShingle | David Legg A note on Riesz elements in C*-algebras International Journal of Mathematics and Mathematical Sciences C* algebra quasinilpotent operators Riesz elements. |
| title | A note on Riesz elements in C*-algebras |
| title_full | A note on Riesz elements in C*-algebras |
| title_fullStr | A note on Riesz elements in C*-algebras |
| title_full_unstemmed | A note on Riesz elements in C*-algebras |
| title_short | A note on Riesz elements in C*-algebras |
| title_sort | note on riesz elements in c algebras |
| topic | C* algebra quasinilpotent operators Riesz elements. |
| url | http://dx.doi.org/10.1155/S0161171278000125 |
| work_keys_str_mv | AT davidlegg anoteonrieszelementsincalgebras AT davidlegg noteonrieszelementsincalgebras |