منابع مشابه
l1-SPREADING MODELS IN MIXED TSIRELSON SPACE
Suppose that (Fn) ∞ n=1 is a sequence of regular families of finite subsets of N and (θn)∞n=1 is a nonincreasing null sequence in (0, 1). The mixed Tsirelson space T [(θn,Fn) ∞ n=1] is the completion of c00 with respect to the implicitly defined norm ‖x‖ = max{‖x‖c0 , sup n sup θn k
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Suppose that (Fn) ∞ n=0 is a sequence of regular families of finite subsets of N such that F0 contains all singletons, and (θn)∞n=1 is a nonincreasing null sequence in (0, 1). The mixed Tsirelson space T (F0, (θn,Fn) ∞ n=1) is the completion of c00 with respect to the implicitly defined norm
متن کاملThe Bourgain c-index of mixed Tsirelson space
Suppose that ðFnÞn1⁄40 is a sequence of regular families of finite subsets of N such that F0 contains all singletons, and ðynÞn1⁄41 is a nonincreasing null sequence in ð0; 1Þ: The mixed Tsirelson space TðF0; ðyn;FnÞn1⁄41Þ is the completion of c00 with respect to the implicitly defined norm jjxjj 1⁄4 max jjxjjF0 ; sup nAN sup yn Xk i1⁄41 jjEixjj ( ) ; where jjxjjF0 1⁄4 supFAF0 jjFxjjc1 and the l...
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We study umbilic (space-like) submanifolds of pseudo-Riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo Euclidean space and relate this notion to umbilicity. Finally we give characterization of total semi-umbilicity for space-like submanifolds contained in pseudo sphere or pseudo hyperbolic space or the light cone.A pseudo-Riemannian submanifold M in (a...
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Any regular mixed Tsirelson space T (θn, Sn)IN for which θn θn → 0, where θ = limn θ n , is shown to be arbitrarily distortable. Certain asymptotic `1 constants for those and other mixed Tsirelson spaces are calculated. Also a combinatorial result on the Schreier families (Sα)α<ω1 is proved and an application is given to show that for every Banach space X with a basis (ei), the two ∆-spectrums ...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1979
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1979.83.523