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Sequential convergences and Dunford-Pettis properties

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2000

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Suomalainen Tiedeakatemia
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Abstract

Several forms of the Dunford-Pettis property are studied, each related to a different mode of sequential convergence, and a different class of weakly compact functions. The relationship between these Dunford-Pettis properties is investigated, and the appearance of previously studied Dunford-Pettis properties is pointed out, giving a unifying approach to the subject.

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