Phillips' Lemma for L-embedded Banach spaces
Functional Analysis
2010-03-29 v1
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.
Cite
@article{arxiv.1003.5088,
title = {Phillips' Lemma for L-embedded Banach spaces},
author = {Hermann Pfitzner},
journal= {arXiv preprint arXiv:1003.5088},
year = {2010}
}
Comments
accepted by Archiv der Mathematik, The original publication will be available at http://www.springerlink.com