P. Motakis

activity

20112026

most citedA reflexive HI space with the hereditary Invariant Subspace Property

15 citations · 70 across the 38 of their papers we have counts for

collaborators

Showing 2026 · math.FAShow all

5 papers · 2 filters

math.FA2026

On complementation and $L$ -embedding of Lipschitz-free spaces in their biduals

Bruno M. Braga, Chris Gartland, Gilles Lancien +3

A closed subspace $E$ of a Banach space $F$ is \emph{ $L$ -embedded in $F$ } if there is a projection $P : F \to E$ such that $∥ x ∥ = ∥ P x ∥ + ∥ x - P x ∥$ for all $x \in F$ . We show that…

math.FA2026

On the $L$ -embeddability of Lipschitz-free spaces in their biduals

Bruno de Mendonça Braga, Chris Gartland, Gilles Lancien +3

A Banach space $X$ is $L$ -embedded in its bidual if there is a projection $P : X^{**} \to X$ such that $∥ x ∥ = ∥ P x ∥ + ∥ x - P x ∥$ for all $x \in X^{**}$ . We show that, as long as $X…

math.FA2026

Explicity Defined Norms on $J T_{*}$ Spaces

Spiros A. Argyros, Pavlos Motakis

We present a Banach space $X_{α}$ , equipped with an explicit norm, whose properties resemble those of the predual $J T_{*}$ of the James Tree space. In particular, $X_{α}$ admits a shrink…

math.FA2026

Expanders prevent Property (H)

Bruno de Mendonç Braga, Chris Gartland, Gilles Lancien +3

We show that if a sequence of expander graphs equi-coarsely embeds into a Banach space, then this Banach space fails Kasparov and Yu's Property (H). Consequently, no Banach space w…

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…

On complementation and L-embedding of Lipschitz-free spaces in their biduals

On the L-embeddability of Lipschitz-free spaces in their biduals

Explicity Defined Norms on JT∗​ Spaces

Expanders prevent Property (H)

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

On complementation and $L$ -embedding of Lipschitz-free spaces in their biduals

On the $L$ -embeddability of Lipschitz-free spaces in their biduals

Explicity Defined Norms on $J T_{*}$ Spaces

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