6 papers · 1 filter
Lattice structures and spreading models
S. J. Dilworth, E. Odell, B. Sari
We consider problems concerning the partial order structure of the set of spreading models of Banach spaces. We construct examples of spaces showing that the possible structure of…
On Asymptotically Symmetric Banach Spaces
M. Junge, D. Kutzarova, E. Odell
We define and study asymptotically symmetric Banach spaces (a.s.) and its variations: weakly a.s. (w.a.s.) and weakly normalized a.s. (w.n.a.s.). If X is a.s. then all spreading mo…
Weakly null sequences in the Banach space C(K)
I. Gasparis, E. Odell, B. Wahl
The hierarchy of the block bases of transfinite normalized averages of a normalized Schauder basic sequence is introduced and a criterion is given for a normalized weakly null sequ…
The Diameter of the Isomorphism Class of a Banach Space
W. B. Johnson, E. Odell
We prove that if X is a separable infinite dimensional Banach space then its isomorphism class has infinite diameter with respect to the Banach-Mazur distance. One step in the proo…
Weakly compact approximation in Banach spaces
Edward Odell, Hans-Olav Tylli
The Banach space has the weakly compact approximation property (W.A.P. for short) if there is a constant so that for any weakly compact set and $ε> 0…
On the structure of the spreading models of a Banach space
G. Androulakis, E. Odell, Th. Schlumprecht +1
We study some questions concerning the structure of the set of spreading models of a separable infinite-dimensional Banach space . In particular we give an example of a reflexiv…