Thomas Schlumprecht

activity

20232026

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3 papers · 1 filter

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

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…

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

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

Expanders prevent Property (H)

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

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