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Some remarks on regular Banach spaces

Published online by Cambridge University Press:  18 May 2009

Denny H. Leung
Denny H. Leung
Affiliation:
Department of Mathematics, National University of Singapore, Singapore0511, E-mail address: matlhh@leonis.nus.sg
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A Banach space E is said to be regular if every bounded linear operator from E into E′ is weakly compact. This property was studied in [7, 9] under the name Property (w). In [7], using James type spaces as constructed in [4], examples were given of regular Banach spaces which fail to have weakly sequentially complete duals, answering a question raised in [9]. In this paper, we present some more results concerning the regularity of James type spaces.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 38 , Issue 2 , May 1996 , pp. 243 - 248
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

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