Phillips' Lemma for L-embedded Banach spaces

Details Phillips' Lemma for L-embedded Banach spaces Phillips' Lemma for L-embedded Banach spaces

2010-03-26

arxiv.org/abs/1003.5088v1

Mathematics

Functional Analysis

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

Scientific paper

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.

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