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New classes of Banach spaces which are M-ideals in their biduals

Published online by Cambridge University Press:  24 October 2008

Dirk Werner
Dirk Werner
Affiliation:
I. Mathematisches Institut, Freie Universitt Berlin, Arnimallee 3, D-W-1000 Berlin 33, Germany
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Extract

A subspace X of a Banach space Y is called an M-ideal if there is an L-projection P on Y* whose kernel is X1, the annihilator of X; that is, we have

In the case that Y is the bidual of X, a natural linear projection on X*** = Y* with kernel X1 is available, namely .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 2 , March 1992 , pp. 337 - 354
Copyright
Copyright © Cambridge Philosophical Society 1992

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