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A characterization of Pettis sets in terms of the Bourgain property. (English) Zbl 0842.46012

Summary: The aim of this paper is to obtain a theorem which gives a characterization of Pettis sets in dual Banach spaces in terms of the Bourgain property, with the help of the function constructed by the author in Publ. Res. Inst. Math. Sci. 27, No. 5, 827-836 (1991; Zbl 0771.46014).

MSC:

46B22 Radon-Nikodým, Kreĭn-Milman and related properties
46G10 Vector-valued measures and integration

Citations:

Zbl 0771.46014
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