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arXiv · 1003.5088

Phillips' Lemma for L-embedded Banach spaces

Hermann Pfitzner
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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.

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Hermann Pfitzner. 2010-03-26. Phillips' Lemma for L-embedded Banach spaces. https://arxiv.org/abs/1003.5088

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