• Communications of the Korean Mathematical Society
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• v.13 no.4
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• pp.775-780
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• 1998

In this paper it is shown that Dunford-Pettis operators obey the "Pettis-divisor property": if T is a Dunford-Pettis operator from $L_1$($\mu$) to a Banach space X, then there is a non-Pettis representable operator S : $L_1$($\mu$)longrightarrow$L_1$($\mu$) such that To S is Pettis representable.

• Journal of the Chungcheong Mathematical Society
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• v.12 no.1
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• pp.179-186
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• 1999

In this paper, we define the Henstock-Stieltjes representable and nearly Henstock-Stieltjes representable operators for vector-valued function, which are the generalizations of Pettis representable operator and then study some properties of these operators.