In this paper we make a study of K-weakly precompact sets A in Banach spaces. We give various characterizations of such sets by the effective use of the lifting theory, weak*-–A*-dentability and a K-valued weak*-measurable function constructed in the case where A is non-K-weakly precompact. These results also can be regarded as generalizations of corresponding ones on Pettis sets and weakly precompact sets.
Cite this article
Minoru Matsuda, On Localized Weak Precompactness in Banach Spaces. Publ. Res. Inst. Math. Sci. 32 (1996), no. 3, pp. 473–491DOI 10.2977/PRIMS/1195162852