Korean Journal of Mathematics
- Volume 10 Issue 2
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- Pages.103-116
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- 2002
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
CHARACTERIZATION OF OPERATORS TAKING COMPACT SETS INTO SUBSETS OF THE RANGES OF VECTOR MEASURES
- Song, Hi Ja (Department of Mathematics Dongguk University)
- Received : 2002.03.20
- Published : 2002.10.21
Abstract
We characterize operators between Banach spaces sending compact sets into sets that lie in the range of a vector measure. Further, we describe operators between Banach spaces taking compact sets into sets that lie in the range of a vector measure of bounded variation.