Abstract
A characterization is given of linear mappings from a Riesz space to a Banach space which map order intervals to relatively weakly compact sets. The characterization is based on recent results of Burkinshaw and Fremlin. A number of applications are made to known results concerning weakly compact mappings and to results in the theory of Banach space-valued measures.
Original language | English |
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Pages (from-to) | 389-402 |
Number of pages | 14 |
Journal | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY |
Volume | 214 |
DOIs | |
Publication status | Published - 1975 |
Keywords
- C(K) operator theory. 1975
- Disjoint sequences
- Locally s-bounded vector measures
- Riesz spaces