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- W2110440928 abstract "The purpose of this note is to characterize those Banach lattices ( E , ∥·∥) which have the property: an operator T : E → c 0 is a Dunford-Pettis operator if and only if T is regular (*) (i.e., T is the difference of two positive operators). Our characterization generalizes a theorem recently proved by Holub [ 6 ] and Gretsky and Ostroy [ 4 ], who have remarked that the space L 1 [0, 1] has the property (*). The main result presented here is the following theorem." @default.
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- W2110440928 date "1989-05-01" @default.
- W2110440928 modified "2023-10-14" @default.
- W2110440928 title "A note on the positive Schur property" @default.
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- W2110440928 doi "https://doi.org/10.1017/s0017089500007692" @default.
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