33 citations · 95 across the 33 of their papers we have counts for
4 papers · 1 filter
The complexity of classifying separable Banach spaces up to isomorphism
Valentin Ferenczi, Alain Louveau, Christian Rosendal
It is proved that the relation of isomorphism between separable Banach spaces is a complete analytic equivalence relation, i.e., that any analytic equivalence relation Borel reduce…
On strongly asymptotic spaces and minimality
S. J. Dilworth, V. Ferenczi, Denka Kutzarova +1
We study Banach spaces X with a strongly asymptotic l_p basis (any disjointly supported finite set of vectors far enough out with respect to the basis behaves like l_p) which are m…
Some strongly bounded classes of Banach spaces
Pandelis Dodos, Valentin Ferenczi
We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th.…
A Banach space dichotomy for quotients of subspaces
Valentin Ferenczi
A Banach space with a Schauder basis is defined to have the restricted quotient hereditarily indecomposable (QHI) property if is hereditarily indecomposable (HI) for any…