Results 11 to 20 of about 445 (75)
The Szlenk index and local ?1-indices [PDF]
Positivity, 2005 We introduce two new local l1-indices of the same type as the Bourgain l1-index; the l+1-index and the l+1-weakly null index. We show that the l+1-weakly null index of a Banach space X is the same as the Szlenk index of X, provided X does not contain l1.
Dale Alspach, Robert Judd, Edward Odell
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Shift invariant preduals of ℓ1(ℤ) [PDF]
, 2011 The Banach space ℓ<sub>1</sub>(ℤ) admits many non-isomorphic preduals, for example, C(K) for any compact countable space K, along with many more exotic Banach spaces.
Daws, M. +3 more
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On the Szlenk index and the weak*-dentability index [PDF]
The Quarterly Journal of Mathematics, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some strongly bounded classes of Banach spaces [PDF]
, 2006 We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th.
Dodos, Pandelis, Ferenczi, Valentin
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Bulletin of the London Mathematical Society, 2014 We find an optimal upper bound on the values of the weak$^*$-dentability index $Dz(X)$ in terms of the Szlenk index $Sz(X)$ of a Banach space $X$ with separable dual. Namely, if $\;Sz(X)= ^ $, for some $
Hájek, P. (Petr Pavel) +1 more
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Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals [PDF]
, 2015 Denote by $[0,\omega_1)$ the set of countable ordinals, equipped with the order topology, let $L_0$ be the disjoint union of the compact ordinal intervals $[0,\alpha]$ for $\alpha$ countable, and consider the Banach spaces $C_0[0,\omega_1)$ and $C_0(L_0)$
Kania, Tomasz, Laustsen, Niels
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The Szlenk index and local l_1-indices
, 2000 LaTeX2e, 41 pages, to appear in ...
Alspach, Dale +2 more
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The Szlenk index of Orlicz sequence spaces [PDF]
Proceedings of the American Mathematical Society, 2010 Summary: We provide explicit estimates of the Szlenk indices of Orlicz sequence spaces. Applications are given to uniform homeomorphisms between subspaces and quotients of Orlicz spaces.
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Studia Mathematica, 2017 We discuss pruning and coloring lemmas on regular families. We discuss several applications of these lemmas to computing the Szlenk index of certain $w^*$ compact subsets of the dual of a separable Banach space. Applications include estimates of the Szlenk index of Minkowski sums, infinite direct sums of separable Banach spaces, constant reduction, and
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Direct sums and summability of the Szlenk index
Journal of Functional Analysis, 2016 26 ...
Draga, Szymon, Kochanek, Tomasz
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