LATTICE OF TRIPOTENTS IN A JBW-ASTERISK-TRIPLE
The complete lattice of tripotents in a JBW*-triple and the unit ball in its predual are respectively proposed as models for the complete lattice of propositions and for the generalized normal state space of a nonassociative, noncommutative physical system. A subsystem of such a system may be define...
| Главные авторы: | , |
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| Формат: | Conference item |
| Опубликовано: |
1995
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| _version_ | 1826275735275307008 |
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| author | Edwards, C Ruttimann, G |
| author_facet | Edwards, C Ruttimann, G |
| author_sort | Edwards, C |
| collection | OXFORD |
| description | The complete lattice of tripotents in a JBW*-triple and the unit ball in its predual are respectively proposed as models for the complete lattice of propositions and for the generalized normal state space of a nonassociative, noncommutative physical system. A subsystem of such a system may be defined in terms of either principal ideals in the complete lattice of propositions or norm-closed faces of the generalized state space. It is shown that the two definitions are equivalent and that each subsystem is associative. |
| first_indexed | 2024-03-06T23:03:18Z |
| format | Conference item |
| id | oxford-uuid:62ea679c-825e-4dcf-947c-8a6a96b3aab5 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:03:18Z |
| publishDate | 1995 |
| record_format | dspace |
| spelling | oxford-uuid:62ea679c-825e-4dcf-947c-8a6a96b3aab52022-03-26T18:09:25ZLATTICE OF TRIPOTENTS IN A JBW-ASTERISK-TRIPLEConference itemhttp://purl.org/coar/resource_type/c_5794uuid:62ea679c-825e-4dcf-947c-8a6a96b3aab5Symplectic Elements at Oxford1995Edwards, CRuttimann, GThe complete lattice of tripotents in a JBW*-triple and the unit ball in its predual are respectively proposed as models for the complete lattice of propositions and for the generalized normal state space of a nonassociative, noncommutative physical system. A subsystem of such a system may be defined in terms of either principal ideals in the complete lattice of propositions or norm-closed faces of the generalized state space. It is shown that the two definitions are equivalent and that each subsystem is associative. |
| spellingShingle | Edwards, C Ruttimann, G LATTICE OF TRIPOTENTS IN A JBW-ASTERISK-TRIPLE |
| title | LATTICE OF TRIPOTENTS IN A JBW-ASTERISK-TRIPLE |
| title_full | LATTICE OF TRIPOTENTS IN A JBW-ASTERISK-TRIPLE |
| title_fullStr | LATTICE OF TRIPOTENTS IN A JBW-ASTERISK-TRIPLE |
| title_full_unstemmed | LATTICE OF TRIPOTENTS IN A JBW-ASTERISK-TRIPLE |
| title_short | LATTICE OF TRIPOTENTS IN A JBW-ASTERISK-TRIPLE |
| title_sort | lattice of tripotents in a jbw asterisk triple |
| work_keys_str_mv | AT edwardsc latticeoftripotentsinajbwasterisktriple AT ruttimanng latticeoftripotentsinajbwasterisktriple |