5 citations · 7 across the 2 of their papers we have counts for
6 papers · 1 filter
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…
How many operators do there exist on a Banach space?
Th. Schlumprecht
We present partial results to the following question: Does every infinite dimensional Banach space have an infinite dimensional subspace on which one can define an operator which i…
The Banach space S is complementably minimal and subsequentially prime
George Androulakis, Thomas Schlumprecht
We first include a result of the second author showing that the Banach space S is complementably minimal. We then show that every block sequence of the unit vector basis of S has a…
On quasi-affine transforms of Read's operator
Thomas Schlumprecht, Vladimir G. Troitsky
We show that C.J.Read's example of an operator T on l_1 which does not have any non-trivial invariant subspaces is not the adjoint of an operator on a predual of l_1. Furthermore,…
Strictly singular, non-compact operators exist on the space of Gowers and Maurey
George Androulakis, Thomas Schlumprecht
We construct a strictly singular non-compact operator on Gowers' and Maurey's space .
Trees and Branches in Banach Spaces
Edward Odell, Thomas Schlumprecht
An infinite dimensional notion of asymptotic structure is considered. This notion is developed in terms of trees and branches on Banach spaces. Every countably infinite countably b…