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Phillips' Lemma for L-embedded Banach spaces

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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Contributor : Hermann Pfitzner <>
Submitted on : Thursday, March 25, 2010 - 4:42:18 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM
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Hermann Pfitzner. Phillips' Lemma for L-embedded Banach spaces. Archiv der Mathematik, Springer Verlag, 2010, 94, pp.547-553. ⟨10.1007/s00013-010-0120-6⟩. ⟨hal-00463770⟩

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