Compact operators in Banach lattices |
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| Authors: | P G Dodds D H Fremlin |
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| Institution: | (1) The Flinders University of South Australia, 5042 Bedford Park, S.A.;(2) The University of Essex, Colchester, England |
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| Abstract: | Disjoint sequence methods from the theory of Riesz spaces are used to study compact operators on Banach lattices. A principal
new result of the paper is that each positive map from a Banach latticeE to a Banach latticeF with compact majorant is itself compact provided the norms onE′ andF are order continuous. |
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