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Super-Reflexive Banach Spaces

Published online by Cambridge University Press:  20 November 2018

Robert C. James
Robert C. James*
Affiliation:
Claremont Graduate School, Claremont, California
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A super-reflexive Banach space is defined to be a Banach space B which has the property that no non-reflexive Banach space is finitely representable in B. Super-reflexivity is invariant under isomorphisms; a Banach space B is super-reflexive if and only if B* is super-reflexive. This concept has many equivalent formulations, some of which have been studied previously.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 24 , Issue 5 , October 1972 , pp. 896 - 904
Copyright
Copyright © Canadian Mathematical Society 1972

References

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