28 citations · 105 across the 35 of their papers we have counts for
35 papers
On spreading sequences and asymptotic structures
D. Freeman, E. Odell, B. Sari +1
In the first part of the paper we study the structure of Banach spaces with a conditional spreading basis. The geometry of such spaces exhibit a striking resemblance to the geometr…
Renorming spaces with greedy bases
S. J. Dilworth, D. Kutzarova, E. Odell +2
We study the problem of improving the greedy constant or the democracy constant of a basis of a Banach space by renorming. We prove that every Banach space with a greedy basis can…
Dichotomy theorems for random matrices and closed ideals of operators on
Niels Jakob Laustsen, Edward Odell, Thomas Schlumprecht +1
We prove two dichotomy theorems about sequences of operators into given by random matrices. In the second theorem we assume that the entries of each random matrix form a sequ…
Greedy bases for Besov spaces
S. J. Dilworth, D. Freeman, E. Odell +1
We prove thatthe Banach space , which is isomorphic to certain Besov spaces, has a greedy basis whenever and $1<q<\inf…
On the convergence of greedy algorithms for initial segments of the Haar basis
S. J. Dilworth, E. Odell, Th. Schlumprecht +1
We consider the -Greedy Algorithm and the Dual Greedy Algorithm in a finite-dimensional Banach space with a strictly monotone basis as the dictionary. We show that when the dict…
The universality of as a dual space
Daniel Freeman, Edward Odell, Thomas Schlumprecht
Let be a Banach space with a separable dual. We prove that embeds isomorphically into a $\cL_\infty$ space whose dual is isomorphic to . If, moreover, is a…