J. Kilbane

most citedOn embeddings of finite subsets of

ℓ_{2}

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

collaborators

3 papers

math.FA2017★ 1 cited

There is no finitely isometric Krivine's theorem

James Kilbane, Mikhail I. Ostrovskii

We prove that for every $p \in (1, \infty)$ , $p \neq = 2$ , there exist a Banach space $X$ isomorphic to $ℓ_{p}$ and a finite subset $U$ in $ℓ_{p}$ , such that $U$ is not isometric to a s…

math.FA2017

On Embeddings of Finite Subsets of $ℓ_{p}$

James Kilbane

We study finite subsets of $ℓ_{p}$ and show that, up to nowhere dense and Haar null complement, all of them embed isometrically into any Banach space that uniformly contains the s…

math.FA2016★ 2 cited

On embeddings of finite subsets of $ℓ_{2}$

James Kilbane

We study finite subsets of $ℓ_{2}$ , and more generally any metric space, and consider whether these isometrically embed into a Banach space. Our results partially answer a questio…

There is no finitely isometric Krivine's theorem

On Embeddings of Finite Subsets of ℓp​

On embeddings of finite subsets of ℓ2​

On Embeddings of Finite Subsets of $ℓ_{p}$

On embeddings of finite subsets of $ℓ_{2}$