-Orthomorphisms and -Linear Operators on the Order Dual of an -Algebra Revisited
We give a necessary and sufficient condition on an -algebra for which orthomorphisms, -linear operators, and -orthomorphisms on the order dual are the same class of operators.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/896302 |
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| _version_ | 1849306099992231936 |
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| author | Jamel Jaber |
| author_facet | Jamel Jaber |
| author_sort | Jamel Jaber |
| collection | DOAJ |
| description | We give a necessary and sufficient condition on an -algebra for which orthomorphisms, -linear operators, and -orthomorphisms on the order dual are the same class of operators. |
| format | Article |
| id | doaj-art-30900b9d57614830ac337bd1ca67a069 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-30900b9d57614830ac337bd1ca67a0692025-08-20T03:55:12ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/896302896302-Orthomorphisms and -Linear Operators on the Order Dual of an -Algebra RevisitedJamel Jaber0Research Laboratory of Algebra, Topology, Arithmetic and Order, Department of Mathematics, Tunis El Manar University, TunisiaWe give a necessary and sufficient condition on an -algebra for which orthomorphisms, -linear operators, and -orthomorphisms on the order dual are the same class of operators.http://dx.doi.org/10.1155/2013/896302 |
| spellingShingle | Jamel Jaber -Orthomorphisms and -Linear Operators on the Order Dual of an -Algebra Revisited Abstract and Applied Analysis |
| title | -Orthomorphisms and -Linear Operators on the Order Dual of an -Algebra Revisited |
| title_full | -Orthomorphisms and -Linear Operators on the Order Dual of an -Algebra Revisited |
| title_fullStr | -Orthomorphisms and -Linear Operators on the Order Dual of an -Algebra Revisited |
| title_full_unstemmed | -Orthomorphisms and -Linear Operators on the Order Dual of an -Algebra Revisited |
| title_short | -Orthomorphisms and -Linear Operators on the Order Dual of an -Algebra Revisited |
| title_sort | orthomorphisms and linear operators on the order dual of an algebra revisited |
| url | http://dx.doi.org/10.1155/2013/896302 |
| work_keys_str_mv | AT jameljaber orthomorphismsandlinearoperatorsontheorderdualofanalgebrarevisited |