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تسجيل مستخدم جديدAsymptotically symmetric spaces with hereditarily non-unique spreading models
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We examine a variant of a Banach space $mathfrak{X}_{0,1}$ defined by Argyros, Beanland, and the second named author that has the property that it admits precisely two spreading models in every infinite dimensional subspace. We prove that this space is asymptotically symmetric and thus it provides a negative answer to a problem of Junge, the first. named author, and Odell.
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A recent result of Freeman, Odell, Sari, and Zheng states that whenever a separable Banach space not containing $ell_1$ has the property that all asymptotic models generated by weakly null sequences are equivalent to the unit vector basis of $c_0$ th
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