A Note on Symmetry of Birkhoff-James Orthogonality in Positive Cones of Locally <i>C</i>*-algebras
In the present note some results of Kimuro, Saito, and Tanaka on symmetry of Birkhoff-James orthogonality in positive cones of <i>C</i>*-algebras are extended to locally <i>C</i>*-algebras.
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/6/1027 |
| _version_ | 1827714437169020928 |
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| author | Alexander A. Katz |
| author_facet | Alexander A. Katz |
| author_sort | Alexander A. Katz |
| collection | DOAJ |
| description | In the present note some results of Kimuro, Saito, and Tanaka on symmetry of Birkhoff-James orthogonality in positive cones of <i>C</i>*-algebras are extended to locally <i>C</i>*-algebras. |
| first_indexed | 2024-03-10T18:57:40Z |
| format | Article |
| id | doaj.art-c77f263fe8ff43878d5f93922df24f2b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T18:57:40Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-c77f263fe8ff43878d5f93922df24f2b2023-11-20T04:41:04ZengMDPI AGMathematics2227-73902020-06-0186102710.3390/math8061027A Note on Symmetry of Birkhoff-James Orthogonality in Positive Cones of Locally <i>C</i>*-algebrasAlexander A. Katz0Department of Mathematics and Computer Science, St. John’s College of Liberal Arts and Sciences, St. John’s University, 8000 Utopia Parkway, SJH-334-G, Queens, NY 11439, USAIn the present note some results of Kimuro, Saito, and Tanaka on symmetry of Birkhoff-James orthogonality in positive cones of <i>C</i>*-algebras are extended to locally <i>C</i>*-algebras.https://www.mdpi.com/2227-7390/8/6/1027<i>C</i>*-algebraslocally <i>C</i>*-algebrasprojective limit of projective family of <i>C</i>*-algebraslocally Hilbert spacesBirkhoff-James orthogonality<i>A</i><sup>+</sup>-local left (right) symmetric point for Birkhoff-James orthogonality |
| spellingShingle | Alexander A. Katz A Note on Symmetry of Birkhoff-James Orthogonality in Positive Cones of Locally <i>C</i>*-algebras Mathematics <i>C</i>*-algebras locally <i>C</i>*-algebras projective limit of projective family of <i>C</i>*-algebras locally Hilbert spaces Birkhoff-James orthogonality <i>A</i><sup>+</sup>-local left (right) symmetric point for Birkhoff-James orthogonality |
| title | A Note on Symmetry of Birkhoff-James Orthogonality in Positive Cones of Locally <i>C</i>*-algebras |
| title_full | A Note on Symmetry of Birkhoff-James Orthogonality in Positive Cones of Locally <i>C</i>*-algebras |
| title_fullStr | A Note on Symmetry of Birkhoff-James Orthogonality in Positive Cones of Locally <i>C</i>*-algebras |
| title_full_unstemmed | A Note on Symmetry of Birkhoff-James Orthogonality in Positive Cones of Locally <i>C</i>*-algebras |
| title_short | A Note on Symmetry of Birkhoff-James Orthogonality in Positive Cones of Locally <i>C</i>*-algebras |
| title_sort | note on symmetry of birkhoff james orthogonality in positive cones of locally i c i algebras |
| topic | <i>C</i>*-algebras locally <i>C</i>*-algebras projective limit of projective family of <i>C</i>*-algebras locally Hilbert spaces Birkhoff-James orthogonality <i>A</i><sup>+</sup>-local left (right) symmetric point for Birkhoff-James orthogonality |
| url | https://www.mdpi.com/2227-7390/8/6/1027 |
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