Distorting mixed tsirelson spaces
نویسندگان
چکیده
منابع مشابه
Distorting Mixed Tsirelson Spaces∗
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 ...
متن کاملDistorting Mixed Tsirelson Spaces G. Androulakis and E. Odell
Any regular mixed Tsirelson space T (θn, Sn)N for which θn θn → 0, where θ = limn θ 1/n 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 ∆-spectru...
متن کامل`1-spreading Models in Subspaces of Mixed Tsirelson Spaces
We investigate the existence of higher order `-spreading models in subspaces of mixed Tsirelson spaces. For instance, we show that the following conditions are equivalent for the mixed Tsirelson space X = T [( n;Sn) 1 n=1]: (1) Every block subspace of X contains an `1-S!-spreading model, (2) The Bourgain `-index Ib(Y ) = I(Y ) > ! ! for any block subspace Y of X, (3) limm lim supn m+n= n > 0 an...
متن کاملl1-SPREADING MODELS IN SUBSPACES OF MIXED TSIRELSON SPACES
We investigate the existence of higher order l-spreading models in subspaces of mixed Tsirelson spaces. For instance, we show that the following conditions are equivalent for the mixed Tsirelson space X = T [(θn,Sn) ∞ n=1]: (1) Every block subspace of X contains an l-Sω-spreading model, (2) The Bourgain l-index Ib(Y ) = I(Y ) > ω ω for any block subspace Y of X, (3) limm lim supn θm+n/θn > 0 an...
متن کاملar X iv : m at h / 96 04 21 7 v 1 [ m at h . FA ] 1 9 A pr 1 99 6 Distorting Mixed Tsirelson Spaces ∗
Any regular mixed Tsirelson space T (θ n , S n) I N for which θn θ n → 0, where θ = lim n θ 1/n n , is shown to be arbitrarily distortable. Certain asymptotic ℓ 1 constants for those and other mixed Tsirelson spaces are calculated. Also a combinatorial result on the Schreier families (S α) α<ω 1 is proved and an application is given to show that for every Banach space X with a basis (e i), the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 1999
ISSN: 0021-2172,1565-8511
DOI: 10.1007/bf02775031