Author:
Lohman Robert H.,Casazza Peter G.
Abstract
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].
Publisher
Canadian Mathematical Society
Cited by
9 articles.
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1. Some remarks on James–Schreier spaces;Journal of Mathematical Analysis and Applications;2010-11
2. Finitely strictly singular operators between James spaces;Journal of Functional Analysis;2009-02
3. Dunford-Pettis and Dieudonné polynomials on Banach spaces;Illinois Journal of Mathematics;2001-01-01
4. $Q$-Reflexive Banach Spaces;Rocky Mountain Journal of Mathematics;1997-12-01
5. Normal Structure in James Spaces;Journal of Mathematical Analysis and Applications;1996-12