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A Reflexive Banach Space that is Lur and Not 2R

Published online by Cambridge University Press:  20 November 2018

Mark A. Smith
Mark A. Smith*
Affiliation:
Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056U.S.A.
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Abstract

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An example of the type described in the title is given.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 2 , 01 June 1978 , pp. 251 - 252
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Fan, K. and Glicksberg, I., Fully convex normed linear speces, Proc. Nat. Acad. Sci. U.S.A. 4 1. (1955), 947-953.Google Scholar
2. Lovaglia, A. R., Locally uniformly convex Banach spaces, Trans. Amer. Math. Soc. 78 (1955), 225-238.Google Scholar
3. Mil'man, V. D., Geometric theory of Banach spaces II: Geometry of the unit sphere, Uspehi Mat. Nauk 26 (1971), 73-149; Russian Math. Surveys 26 (1971), 79-163.Google Scholar