S. Dilworth

activity

19982009

most citedA new approach to the Ramsey-type games and the Gowers dichotomy in F-spaces

2 citations · 4 across the 7 of their papers we have counts for

collaborators

Showing 1999 · math.FAShow all

2 papers · 2 filters

math.FA1999

Geometry of Banach spaces and biorthogonal systems

S. J. Dilworth, Maria Girardi, W. B. Johnson

A separable Banach space X contains $ℓ_{1}$ isomorphically if and only if X has a bounded wc_0^*-stable biorthogonal system. The dual of a separable Banach space X fails the Schur…

math.FA1999

On the size of approximately convex sets in normed spaces

S. J. Dilworth, Ralph Howard, James W. Roberts

Let X be a normed space. A subset A of X is approximately convex if $d (t a + (1 - t) b, A) \leq 1$ for all $a, b \in A$ and $t \in [0, 1]$ where $d (x, A)$ is the distance of $x$ to $A$ . Let $…