This is an announcement for the paper "Phillips' Lemma for L-embedded Banach spaces" by Hermann Pfitzner.

Abstract: In this note the following version of Phillips' lemma is proved. The L-projection of an L-embedded space - that is of a Banach space which is complemented in its bidual such that the norm between the two complementary subspaces is additive - is weak-weakly sequentially continuous.

Archive classification: math.FA

Remarks: accepted by Archiv der Mathematik, The original publication will be available at www.springerlink.com

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1003.5088

or

http://arXiv.org/abs/1003.5088