East Asian mathematical journal
- Volume 24 Issue 2
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- Pages.201-212
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- 2008
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
CHARACTERIZATION OF OPERATORS TAKING P-SUMMABLE SEQUENCES INTO SEQUENCES IN THE RANGE OF A VECTOR MEASURE
Abstract
We characterize operators between Banach spaces sending unconditionally weakly p-summable sequences into sequences that lie in the range of a vector measure of bounded variation. Further, we describe operators between Banach spaces taking unconditionally weakly p-summable sequences into sequences that lie in the range of a vector measure.