3 papers
math.FA2019
Nondentable Sets in Banach Spaces
S. J. Dilworth, Chris Gartland, Denka Kutzarova +1
In his study of the Radon Nikodým property of Banach spaces, Bourgain showed (among other things) that in any closed, bounded, convex set that is nondentable, one can find a se…
math.FA2012
Asymptotic geometry of Banach spaces and uniform quotient maps
S. J. Dilworth, Denka Kutzarova, G. Lancien +1
Recently, Lima and Randrianarivony pointed out the role of the property of Rolewicz in nonlinear quotient problems, and answered a ten-year-old question of Bates, Johnson, Li…
math.FA2010
Property and uniform quotient maps
Vegard Lima, N. Lovasoa Randrianarivony
In 1999, Bates, Johnson, Lindenstrauss, Preiss and Schechtman asked whether a Banach space that is a uniform quotient of , , must be isomorphic to a…