You are not currently logged in.
Access your personal account or get JSTOR access through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Shorter Notes: L1 x is Weakly Compactly Generated if x is
Proceedings of the American Mathematical Society
Vol. 48, No. 2 (Apr., 1975), pp. 508-510
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2040292
Page Count: 3
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
Though good criteria for weak compactness in the space of Bochner-integrable functions are not yet known, one can show that L1(μ; X) is a weakly compactly generated Banach space whenever μ is finite and X is a weakly compactly generated Banach space. The proof depends upon a recent factorization scheme due to W. J. Davis, T. Figiel, W. B. Johnson, and A. Pelczynski.
Proceedings of the American Mathematical Society © 1975 American Mathematical Society