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Corrigendum to ‘Square Banach Spaces’

Published online by Cambridge University Press:  24 October 2008

F. Cunningham Jr
F. Cunningham Jr
Affiliation:
Bryn Mawr College, Bryn Mawr, Pennsylvania
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Extract

Nina M. Roy has proved (3) that every separable G-space is square, thus exposing an error in my paper (1), in which I proposed a construction of non-square G-spaces which purports to include separable examples. The mistake lies in Lemma 5, whose proof confuses the weak-* topology with the bounded weak-* topology. This note is to salvage the construction to the extent possible, which is in the nonseparable case. The context and notations of (1) are used without further comment.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 1 , July 1974 , pp. 143 - 144
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

(1)Cunningham, F. Jr, Square Banach spaces. Proc. Cambridge Philos. Soc. 66 (1969), 553–558.CrossRefGoogle Scholar
(2)Dunford, N. and Schwartz, J. T.Linear Operators, Part I (New York, 1958).Google Scholar
(3)Roy, Nina M. A.characterization of square Banach spaces (to appear in Israel J. Math.).Google Scholar