P. Nowak

activity

20042020

ℓ_{p}

-spaces and a conjecture of Dranishnikov

19 citations · 78 across the 17 of their papers we have counts for

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math.MG2004★ 19 cited

On coarse embeddability into $ℓ_{p}$ -spaces and a conjecture of Dranishnikov

Piotr W. Nowak

We show that the Hilbert space is coarsely embeddable into any $ℓ_{p}$ for $1 \leq p < \infty$ . In particular, this yields new characterizations of embeddability of separable metric s…

math.MG2004

Coarse embeddings of metric spaces into Banach spaces

Piotr W. Nowak

There are several characterizations of coarse embeddability of a discrete metric space into a Hilbert space. In this note we give such characterizations for general metric spaces.…

math.MG2004

Group actions on Banach spaces and a geometric characterization of a-T-menability

Piotr W. Nowak

We prove a geometric characterization of a-T-menability through proper, affine, isometric actions on the Banach spaces $L_{p} [0, 1]$ for $1 < p < 2$ . This answers a question of A. Valette…

On coarse embeddability into ℓp​-spaces and a conjecture of Dranishnikov

Coarse embeddings of metric spaces into Banach spaces

Group actions on Banach spaces and a geometric characterization of a-T-menability

On coarse embeddability into $ℓ_{p}$ -spaces and a conjecture of Dranishnikov