P. Motakis

activity

20172022

most citedContinuous factorization of the identity matrix

1 citations · 3 across the 9 of their papers we have counts for

collaborators

15 papers

math.FA2022

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 $A : R \to M_{n \times n}$ and lower $ℓ_{2}$ -norm bounds associated with…

math.FA2021

The space $L_{1} (L_{p})$ is primary for $1 < p < \infty$

Richard Lechner, Pavlos Motakis, Paul F. X. Müller +1

The classical Banach space $L_{1} (L_{p})$ consists of measurable scalar functions $f$ on the unit square for which $$\|f\| = \int_0^1\Big(\int_0^1 |f(x,y)|^p dy\Big)^{1/p}dx < \infty.$…

math.FA2021

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 $d_{2}$ -hereditarily indecomposable Banach spaces, i.e., non-Hilbertian spaces that do not cont…

math.MG2020

Coarse and Lipschitz universality

Florent P. Baudier, Gilles Lancien, Pavlos Motakis +1

In this paper we provide several \emph{metric universality} results. We exhibit for certain classes $\cC$ of metric spaces, families of metric spaces $(M_{i}, d_{i})_{i \in I}$ which ha…

math.FA2020

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- $c_{0}$ spaces in terms of a bi-Lipschitz invariant which involves metrics…

math.MG2020

Stochastic approximation of lamplighter metrics

Florent P. Baudier, Pavlos Motakis, Thomas Schlumprecht +1

We observe that embeddings into random metrics can be fruitfully used to study the $L_{1}$ -embeddability of lamplighter graphs or groups, and more generally lamplighter metric spaces…