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A class of Banach sequence spaces analogous to the space of Popov
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 3, pp. 573-582
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Hagler and the first named author introduced a class of hereditarily $l_1$ Banach spaces which do not possess the Schur property. Then the first author extended these spaces to a class of hereditarily $l_p$ Banach spaces for $1\leq p\infty $. Here we use these spaces to introduce a new class of hereditarily $l_p(c_0)$ Banach spaces analogous of the space of Popov. In particular, for $p=1$ the spaces are further examples of hereditarily $l_1$ Banach spaces failing the Schur property.
Hagler and the first named author introduced a class of hereditarily $l_1$ Banach spaces which do not possess the Schur property. Then the first author extended these spaces to a class of hereditarily $l_p$ Banach spaces for $1\leq p\infty $. Here we use these spaces to introduce a new class of hereditarily $l_p(c_0)$ Banach spaces analogous of the space of Popov. In particular, for $p=1$ the spaces are further examples of hereditarily $l_1$ Banach spaces failing the Schur property.
Classification : 46B20, 46B25, 46B45, 46E30
Keywords: Banach spaces; Schur property; hereditarily $l_p$ 
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     title = {A class of {Banach} sequence spaces analogous to the space of {Popov}},
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Azimi, P.; Ledari, A. A. A class of Banach sequence spaces analogous to the space of Popov. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 3, pp. 573-582. http://geodesic.mathdoc.fr/item/CMJ_2009_59_3_a0/

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