14 citations · 33 across the 8 of their papers we have counts for
8 papers
Shift invariant preduals of
Matthew Daws, Richard Haydon, Thomas Schlumprecht +1
The Banach space admits many non-isomorphic preduals, for example, for any compact countable space , along with many more exotic Banach spaces. In this paper…
A hereditarily indecomposable L_\infty-space that solves the scalar-plus-compact problem
Spiros A Argyros, Richard G Haydon
We construct a hereditarily indecomposable Banach space with dual isomorphic to . Every bounded linear operator on this space has the form with a scalar and …
Spaces of functions with countably many discontinuities
R Haydon, A Molto, J Orihuela
Let be a Polish space and let be a separable and pointwise compact set of real-valued functions on . It is shown that if each function in has only countably many dis…
Locally uniformly convex norms in Banach spaces and their duals
Richard Haydon
It is shown that a Banach space with locally uniformly convex dual admits an equivalent norm which is itself locally uniformly convex. It follows that on any such space all continu…
Smooth norms and approximation in Banach spaces of the type C(K)
Petr Hajek, Richard Haydon
We prove two theorems about differentiable functions on the Banach space C(K), where K is compact. (i) If C(K) admits a non-trivial function of class C^m and of bounded support, th…
Trees in renorming theory
Richard Haydon
Trees are very agreeable objects to work with, offering a diversity of behaviour within a structure that is sufficiently simple to admit precise analysis. Thus we are able to offer…