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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |