Geodesic
On dual of Banach sequence spaces
Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 2, pp. 159-164 
V. Parvaneh; A. A. Ledari; V. Parvaneh; A. A. Ledari. On dual of Banach sequence spaces. Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 2, pp. 159-164. http://geodesic.mathdoc.fr/item/AMUC_2013_82_2_a0/
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     author = {V. Parvaneh and A. A. Ledari and V. Parvaneh and A. A. Ledari},
     title = { On dual of {Banach} sequence spaces},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {159--164},
     year = {2013},
     volume = {82},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2013_82_2_a0/}
}
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Voir la notice de l'article provenant de la source Comenius University

J. Hagler and P. Azimi have introduced a class of Banach sequence spaces, the Xα,1 spaces as a class of hereditarily $\ell_1$ Banach spaces. In this paper, (i) We show that X*α, 1, the dual of Banach space Xα,1 contains asymptotically isometric copies of $\ell_\infty$. (ii) With two methods, we show that X*α,1 is nonseparable although Xα,1 is a separable Banach space. Also, we show Xα,1 is not hereditarily indecomposable.