Correction to “On some subspaces of Banach spaces whose duals are 𝐿₁ spaces”

Zippin, M.

doi:10.1090/proc/14196

Correction to “On some subspaces of Banach spaces whose duals are $L_1$ spaces”
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Proc. Amer. Math. Soc. 146 (2018), 5257-5262 Request permission

Abstract:

E. Casini, E. Miglierina, L. Piasecki, and L. Veselý have recently constructed an example of an $L_{1}$-predual hyperplane $W$ of $c$ which does not contain a subspace isometric to $c$, in spite of the fact that the closed unit ball of $W$ contains an extreme point. This example shows that Remark A of Section 4 of [Proc. Amer. Math. Soc. 23 (1969), pp. 378-385], titled as above, is false. The purpose of this note is to present two correct versions of that Remark A and a short proof of our 1969 main result.

References

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