On Localized Weak Precompactness in Banach Spaces | Zendy

Minoru Matsuda | Zendy

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On Localized Weak Precompactness in Banach Spaces

Author(s) -

Minoru Matsuda

Publication year - 1996

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195162852

Subject(s) - mathematics , banach space , eberlein–šmulian theorem , interpolation space , pure mathematics , banach manifold , lp space , functional analysis , chemistry , biochemistry , gene

In this paper we make a study of Jf-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 Jf-valued weak*-measurable function constructed in the case where A is non-^-weakly precompact. These results also can be regarded as generalizatio ns of corresponding ones on Pettis sets and weakly precompact sets.

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