15 citations · 70 across the 38 of their papers we have counts for
6 papers · 1 filter
The factorization property of
R. Lechner, P. Motakis, P. F. X. Müller +1
In this paper we consider the following problem: Let , be a Banach space with a normalized basis , whose biorthogonals are denoted by , for $k\…
Continuous factorization of the identity matrix
Yuying Dai, Ankush Hore, Siqi Jiao +2
We investigate conditions under which the identity matrix can be continuously factorized through a continuous matrix function with domain in . We…
Non-asymptotic spaces with unique asymptotic model
Spiros A. Argyros, Alexandros Georgiou, Pavlos Motakis
A recent result of Freeman, Odell, Sari, and Zheng states that whenever a separable Banach space not containing has the property that all asymptotic models generated by we…
Asymptotically symmetric spaces with hereditarily non-unique spreading models
Denka Kutzarova, Pavlos Motakis
We examine a variant of a Banach space defined by Argyros, Beanland, and the second named author that has the property that it admits precisely two spreading m…
On the complete separation of asymptotic structures in Banach spaces
Spiros A. Argyros, Pavlos Motakis
Let denote the unit vector basis of , , or . We construct a reflexive Banach space with an unconditional basis that admits as a un…
On the bi-Lipschitz geometry of lamplighter graphs
Florent P. Baudier, Pavlos Motakis, Thomas Schlumprecht +1
In this article we start a systematic study of the bi-Lipschitz geometry of lamplighter graphs. We prove that lamplighter graphs over trees bi-Lipschitzly embed into Hamming cubes…