On Localized Weak Precompactness in Banach Spaces

  • Minoru Matsuda

    Shizuoka University, Japan


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. 473–491

DOI 10.2977/PRIMS/1195162852