Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited
We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the theory of radicals in the lattices of subspaces of Banach spaces and in the lattices of ideals of Banach and C*-algebras and of Banach Lie algebras.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer
2021
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| Subjects: | |
| Online Access: | https://repository.londonmet.ac.uk/6024/1/ABSTRACT%20LATTICES%20SUBMISSION.pdf |
| _version_ | 1804072557268172800 |
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| author | Kissin, Edward Shulman, Victor S. Turovskii, Yuri V. |
| author_facet | Kissin, Edward Shulman, Victor S. Turovskii, Yuri V. |
| author_sort | Kissin, Edward |
| collection | LMU |
| description | We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the theory of radicals in the lattices of subspaces of Banach spaces and in the lattices of ideals of Banach and C*-algebras and of Banach Lie algebras. |
| first_indexed | 2024-07-09T04:01:02Z |
| format | Article |
| id | oai:repository.londonmet.ac.uk:6024 |
| institution | London Metropolitan University |
| language | English |
| last_indexed | 2024-07-09T04:01:02Z |
| publishDate | 2021 |
| publisher | Springer |
| record_format | eprints |
| spelling | oai:repository.londonmet.ac.uk:60242022-01-15T13:21:50Z http://repository.londonmet.ac.uk/6024/ Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited Kissin, Edward Shulman, Victor S. Turovskii, Yuri V. 510 Mathematics We refine Amitsur's theory of radicals in complete lattices and apply the obtained results to the theory of radicals in the lattices of subspaces of Banach spaces and in the lattices of ideals of Banach and C*-algebras and of Banach Lie algebras. Springer 2021 Article PeerReviewed text en https://repository.londonmet.ac.uk/6024/1/ABSTRACT%20LATTICES%20SUBMISSION.pdf Kissin, Edward, Shulman, Victor S. and Turovskii, Yuri V. (2021) Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited. Order, 38. pp. 143-201. ISSN 0167-8094 https://doi.org/10.1007/s11083-020-09533-4 10.1007/s11083-020-09533-4 |
| spellingShingle | 510 Mathematics Kissin, Edward Shulman, Victor S. Turovskii, Yuri V. Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited |
| title | Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited |
| title_full | Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited |
| title_fullStr | Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited |
| title_full_unstemmed | Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited |
| title_short | Relations and radicals in abstract lattices and in lattices of subspaces of Banach spaces and of ideals of Banach algebras: Amitsur's theory revisited |
| title_sort | relations and radicals in abstract lattices and in lattices of subspaces of banach spaces and of ideals of banach algebras amitsur s theory revisited |
| topic | 510 Mathematics |
| url | https://repository.londonmet.ac.uk/6024/1/ABSTRACT%20LATTICES%20SUBMISSION.pdf |
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