Asymptotically symmetric spaces with hereditarily non-unique spreading models

Kutzarova, Denka; Motakis, Pavlos

doi:10.1090/proc/14855

Asymptotically symmetric spaces with hereditarily non-unique spreading models
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by Denka Kutzarova and Pavlos Motakis PDF

Proc. Amer. Math. Soc. 148 (2020), 1697-1707 Request permission

Abstract:

We examine a variant of a Banach space $\mathfrak {X}^1_{0,1}$ 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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