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A General Construction of Spaces of the Type of R. C. James

Published online by Cambridge University Press:  20 November 2018

Robert H. Lohman  and
Peter G. Casazza
Robert H. Lohman
Affiliation:
University of A labama Huntsville, Alabama
Peter G. Casazza
Affiliation:
Kent State University Kent, Ohio
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In 1950, R. C. James [7] exhibited a nonreflexive Banach space with a basis that is of finite codimension in its second dual. This space is the first example of a quasi-reflexive space. General results on quasi-reflexive spaces have been obtained by P. Civin and B. Yood [3], and quasi-reflexive spaces with bases have been studied by D. Dean, B. L. Lin, and I. Singer [4 ; 12].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 6 , 01 December 1975 , pp. 1263 - 1270
Copyright
Copyright © Canadian Mathematical Society 1975

References

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