The Order Continuity of the Regular Norm on Regular Operator Spaces
We present here some sufficient conditions for the regular norm on to be order continuous, and for () to be a KB-space. In particular we deduce a characterization of the order continuity of the regular norm using L- and M-weak compactness of regular operators. Also we characterize when the space i...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/183786 |
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| _version_ | 1832561309136191488 |
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| author | Zi Li Chen Ying Feng Jin Xi Chen |
| author_facet | Zi Li Chen Ying Feng Jin Xi Chen |
| author_sort | Zi Li Chen |
| collection | DOAJ |
| description | We present here some sufficient conditions for the regular norm on to be order continuous, and for () to be a KB-space. In particular we deduce a characterization of the order continuity of the regular norm using L- and M-weak compactness
of regular operators. Also we characterize when the space is an -space and is lattice isomorphic to an -space for . Some related results are also obtained. |
| format | Article |
| id | doaj-art-a5e01f88c1864fd0bf6be0f58c261758 |
| 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-a5e01f88c1864fd0bf6be0f58c2617582025-02-03T01:25:28ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/183786183786The Order Continuity of the Regular Norm on Regular Operator SpacesZi Li Chen0Ying Feng1Jin Xi Chen2School of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Mathematics, Southwest Jiaotong University, Chengdu 610031, ChinaWe present here some sufficient conditions for the regular norm on to be order continuous, and for () to be a KB-space. In particular we deduce a characterization of the order continuity of the regular norm using L- and M-weak compactness of regular operators. Also we characterize when the space is an -space and is lattice isomorphic to an -space for . Some related results are also obtained.http://dx.doi.org/10.1155/2013/183786 |
| spellingShingle | Zi Li Chen Ying Feng Jin Xi Chen The Order Continuity of the Regular Norm on Regular Operator Spaces Abstract and Applied Analysis |
| title | The Order Continuity of the Regular Norm on Regular Operator Spaces |
| title_full | The Order Continuity of the Regular Norm on Regular Operator Spaces |
| title_fullStr | The Order Continuity of the Regular Norm on Regular Operator Spaces |
| title_full_unstemmed | The Order Continuity of the Regular Norm on Regular Operator Spaces |
| title_short | The Order Continuity of the Regular Norm on Regular Operator Spaces |
| title_sort | order continuity of the regular norm on regular operator spaces |
| url | http://dx.doi.org/10.1155/2013/183786 |
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