1 citations · 3 across the 10 of their papers we have counts for
13 papers · 1 filter
On the uniform continuity of homeomorphisms between the spheres of and
Bruno de Mendonça Braga, Chris Gartland, Gilles Lancien +3
We consider the problem of whether there is a sequence of homeomorphisms between the unit spheres of the -dimensional Banach spaces and whic…
Coordinate systems and distributional embeddings in Bourgain-Rosenthal-Schechtman spaces: a framework for operator reduction
Konstantinos Konstantos, Pavlos Motakis
For every , we construct an explicit unconditional finite-dimensional decomposition (FDD) of the Bourgain-Rosenthal-Schechtman space $R_α^{…
Restricted invertibility of continuous matrix functions
Adrian Fan, Jack Montemurro, Pavlos Motakis +4
Motivated by an influential result of Bourgain and Tzafriri, we consider continuous matrix functions and lower -norm bounds associated with…
The space is primary for
Richard Lechner, Pavlos Motakis, Paul F. X. Müller +1
The classical Banach space consists of measurable scalar functions on the unit square for which $$\|f\| = \int_0^1\Big(\int_0^1 |f(x,y)|^p dy\Big)^{1/p}dx < \infty.$…
Variants of the James Tree space
S. A. Argyros, A. Manoussakis, P. Motakis
Recently, W. Cuellar Carrera, N. de Rancourt, and V. Ferenczi introduced the notion of -hereditarily indecomposable Banach spaces, i.e., non-Hilbertian spaces that do not cont…
The geometry of Hamming-type metrics and their embeddings into Banach spaces
Florent P. Baudier, Gilles Lancien, Pavlos Motakis +1
Within the class of reflexive Banach spaces, we prove a metric characterization of the class of asymptotic- spaces in terms of a bi-Lipschitz invariant which involves metrics…