Some remarks on regular Banach spaces
Glasgow mathematical journal, Tome 38 (1996) no. 2, pp. 243-248

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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.
Leung, Denny H. Some remarks on regular Banach spaces. Glasgow mathematical journal, Tome 38 (1996) no. 2, pp. 243-248. doi: 10.1017/S0017089500031505
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