P. Motakis

collaborators

4 papers

math.FA2026

Embedding $ℓ_{2}$ and $J$ into subspaces of $J T$ and $J T^{*}$

Spiros A. Argyros, Manuel Gonzalez, Pavlos Motakis

In the first part of the paper we show that every closed subspace of $J T$ or $J T^{*}$ contains $ℓ_{2}$ complemented in $J T$ or $J T^{*}$ respectively, and $J T$ contains uncomplemented…

math.FA2025

On the uniform continuity of homeomorphisms between the spheres of $ℓ_{\infty}^{k}$ and $ℓ_{1}^{k}$

Bruno de MendonÃ§a Braga, Chris Gartland, Gilles Lancien +3

We consider the problem of whether there is a sequence of homeomorphisms $(F_{k})_{k}$ between the unit spheres of the $k$ -dimensional Banach spaces $ℓ_{\infty}^{k}$ and $ℓ_{1}^{k}$ whic…

math.FA2025

Coordinate systems and distributional embeddings in Bourgain-Rosenthal-Schechtman spaces: a framework for operator reduction

Konstantinos Konstantos, Pavlos Motakis

For every $1 \leq I^\pm < I ¨ _{1}$ , we construct an explicit unconditional finite-dimensional decomposition (FDD) $(X_{I^} »)_{I^» \in T_{I^} \pm}$ of the Bourgain-Rosenthal-Schechtman space $…

math.FA2025

Orthogonal Factors of Operators on the Rosenthal $X_{p, w}$ spaces and the Bourgain-Rosenthal-Schechtman $R_{I ¨} ^{p}$ space

Konstantinos Konstantos, Pavlos Motakis

For $1 < p < \infty$ , we show that the Rosenthal $X_{p, w}$ spaces and the Bourgain-Rosenthal-Schechtman $R_{I ¨} ^{p}$ space have the factorization property and the primary factorization…

Embedding ℓ2​ and J into subspaces of JT and JT∗

On the uniform continuity of homeomorphisms between the spheres of ℓ∞k​ and ℓ1k​

Coordinate systems and distributional embeddings in Bourgain-Rosenthal-Schechtman spaces: a framework for operator reduction

Orthogonal Factors of Operators on the Rosenthal Xp,w​ spaces and the Bourgain-Rosenthal-Schechtman RI¨​p space

Embedding $ℓ_{2}$ and $J$ into subspaces of $J T$ and $J T^{*}$

On the uniform continuity of homeomorphisms between the spheres of $ℓ_{\infty}^{k}$ and $ℓ_{1}^{k}$

Orthogonal Factors of Operators on the Rosenthal $X_{p, w}$ spaces and the Bourgain-Rosenthal-Schechtman $R_{I ¨} ^{p}$ space