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J. Hagler and P. Azimi have introduced a class of Banach sequence spaces, the X ;1 spaces as a class of hereditarily l1 Banach spaces. In this paper, we show that (i) X ;1, the dual of Banach space X ;1 contains asymptotically isometric copies of `1, (ii) X ;1 is nonseparable although X ;1 is a separable Banach space. Also, we show X ;1 is not hereditarily indecomposable.
کلید واژگان :Banach spaces; asymptotically isometric copies; nonseparable dual
ارزش ریالی : 600000 ریال
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