Correction to “On some subspaces of banach spaces whose duals are L                         1                          spaces”

M. Zippin

doi:10.1090/proc/14196

Correction to “On some subspaces of banach spaces whose duals are L ₁ spaces”

M. Zippin^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	5257-5262
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	146
Issue number	12
DOIs	https://doi.org/10.1090/proc/14196
State	Published - Dec 2018

Bibliographical note

Publisher Copyright:
© 2018 American Mathematical Society.

Keywords

L -predual spaces
Lindenstrauss spaces

Access to Document

10.1090/proc/14196

Cite this

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title = "Correction to “On some subspaces of banach spaces whose duals are L 1 spaces”",

abstract = " E. Casini, E. Miglierina, L. Piasecki, and L. Vesel{\'y} 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.",

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AB - 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.

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KW - Lindenstrauss spaces

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Correction to “On some subspaces of banach spaces whose duals are L ₁ spaces”

Abstract

Bibliographical note

Keywords

Access to Document

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Fingerprint

On some subspaces of banach spaces whose duals are l spaces

Cite this

Correction to “On some subspaces of banach spaces whose duals are L 1 spaces”

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Related research output

On some subspaces of banach spaces whose duals are l spaces

Cite this

Correction to “On some subspaces of banach spaces whose duals are L ₁ spaces”