4 citations · 5 across the 4 of their papers we have counts for
6 papers · 1 filter
Countable groups of isometries on Banach spaces
Valentin Ferenczi, Eloi Medina Galego
A group G is representable in a Banach space X if G is isomorphic to the group of isometries on X in some equivalent norm. We prove that a countable group G is representable in a s…
Even infinite dimensional real Banach spaces
Valentin Ferenczi, Eloi Medina Galego
This article is a continuation of a paper of the first author \cite{F} about complex structures on real Banach spaces. We define a notion of even infinite dimensional real Banach s…
Minimality, homogeneity and topological 0-1 laws for subspaces of a Banach space
Valentin Ferenczi
If a Banach space is saturated with basic sequences whose linear span embeds into the linear span of any subsequence, then it contains a minimal subspace. It follows that any Banac…
Some results about the Schroeder-Bernstein Property for separable Banach spaces
Valentin Ferenczi, Eloi Medina Galego
We construct a continuum of mutually non-isomorphic separable Banach spaces which are complemented in each other. Consequently, the Schroeder-Bernstein Index of any of these spaces…
Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces
Valentin Ferenczi, Eloi Medina Galego
We improve the known results about the complexity of the relation of isomorphism between separable Banach spaces up to Borel reducibility, and we achieve this using the classical s…
On a question of Haskell P. Rosenthal
Valentin Ferenczi, Anna Maria Pelczar, Christian Rosendal
We consider a normalized basis in a Banach space with the following property: any normalized block sequence of the basis has a subsequence equivalent to the basis. We show that und…