Essential Self-Adjointness of Anticommutative Operators
The self-adjoint extensions of symmetric operators satisfying anticommutation relations are considered. It is proven that an anticommutative type of the Glimm-Jaffe-Nelson commutator theorem follows. Its application to an abstract Dirac operator is also considered.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/265349 |
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| _version_ | 1849308698849050624 |
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| author | Toshimitsu Takaesu |
| author_facet | Toshimitsu Takaesu |
| author_sort | Toshimitsu Takaesu |
| collection | DOAJ |
| description | The self-adjoint extensions of symmetric operators satisfying anticommutation relations are considered. It is proven that an anticommutative
type of the Glimm-Jaffe-Nelson commutator theorem follows. Its application to an abstract Dirac operator is also considered. |
| format | Article |
| id | doaj-art-160c75c660fa468bb46efbdf2f7d634f |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-160c75c660fa468bb46efbdf2f7d634f2025-08-20T03:54:24ZengWileyJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/265349265349Essential Self-Adjointness of Anticommutative OperatorsToshimitsu Takaesu0Faculty of Science and Technology, Gunma University, Gunma 376-8515, JapanThe self-adjoint extensions of symmetric operators satisfying anticommutation relations are considered. It is proven that an anticommutative type of the Glimm-Jaffe-Nelson commutator theorem follows. Its application to an abstract Dirac operator is also considered.http://dx.doi.org/10.1155/2014/265349 |
| spellingShingle | Toshimitsu Takaesu Essential Self-Adjointness of Anticommutative Operators Journal of Mathematics |
| title | Essential Self-Adjointness of Anticommutative Operators |
| title_full | Essential Self-Adjointness of Anticommutative Operators |
| title_fullStr | Essential Self-Adjointness of Anticommutative Operators |
| title_full_unstemmed | Essential Self-Adjointness of Anticommutative Operators |
| title_short | Essential Self-Adjointness of Anticommutative Operators |
| title_sort | essential self adjointness of anticommutative operators |
| url | http://dx.doi.org/10.1155/2014/265349 |
| work_keys_str_mv | AT toshimitsutakaesu essentialselfadjointnessofanticommutativeoperators |