M. Ostrovskii

activity

19932023

most citedCoarse embeddability into Banach spaces

21 citations · 116 across the 45 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.FA2017★ 5 cited

On embeddings of locally finite metric spaces into $ℓ_{p}$

Sofiya Ostrovska, Mikhail I. Ostrovskii

It is known that if finite subsets of a locally finite metric space $M$ admit $C$ -bilipschitz embeddings into $ℓ_{p}$ $(1 \leq p \leq \infty)$ , then for every $ε > 0$ , the space $M$ adm…

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

Images of nowhere differentiable Lipschitz maps of $[0, 1]$ into $L_{1} [0, 1]$

Florin Catrina, Mikhail I. Ostrovskii

The main result: for every sequence ${ω_{m}}_{m = 1}^{\infty}$ of positive numbers ( $ω_{m} > 0)$ there exists an isometric embedding $F : [0, 1] \to L_{1} [0, 1]$ which is nowhere differentiable,…

On embeddings of locally finite metric spaces into ℓp​

There is no finitely isometric Krivine's theorem

Images of nowhere differentiable Lipschitz maps of [0,1] into L1​[0,1]

On embeddings of locally finite metric spaces into $ℓ_{p}$

Images of nowhere differentiable Lipschitz maps of $[0, 1]$ into $L_{1} [0, 1]$