New classes of Banach spaces which are M-ideals in their biduals-Reference-Cited by-同舟云学术

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

Published:1992-03 Issue:2 Volume:111 Page:337-354
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Werner Dirk

Abstract

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 .

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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